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Finding the Third Proportional to 150,814.50 and 235,122

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Solution

The third proportional to 150,814.50 and 235,122 is: 366,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,814.50 : 235,122 = 235,122 : x
  2. Step 2: Convert to fraction form
    150,814.50/235,122 = 235,122/x
  3. Step 3: Cross multiply
    150,814.50x = 235,122 × 235,122
  4. Step 4: Simplify right side
    150,814.50x = 55,282,354,884
  5. Step 5: Solve for x
    x = 55,282,354,884/150,814.50
  6. Step 6: Final answer
    x = 366,558.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.