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Finding the Third Proportional to 150,457.50 and 223,197.75

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Solution

The third proportional to 150,457.50 and 223,197.75 is: 331,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,457.50 : 223,197.75 = 223,197.75 : x
  2. Step 2: Convert to fraction form
    150,457.50/223,197.75 = 223,197.75/x
  3. Step 3: Cross multiply
    150,457.50x = 223,197.75 × 223,197.75
  4. Step 4: Simplify right side
    150,457.50x = 49,817,235,605.06
  5. Step 5: Solve for x
    x = 49,817,235,605.06/150,457.50
  6. Step 6: Final answer
    x = 331,105.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.