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Finding the Third Proportional to 122,782.50 and 264,457.50

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Solution

The third proportional to 122,782.50 and 264,457.50 is: 569,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782.50 : 264,457.50 = 264,457.50 : x
  2. Step 2: Convert to fraction form
    122,782.50/264,457.50 = 264,457.50/x
  3. Step 3: Cross multiply
    122,782.50x = 264,457.50 × 264,457.50
  4. Step 4: Simplify right side
    122,782.50x = 69,937,769,306.25
  5. Step 5: Solve for x
    x = 69,937,769,306.25/122,782.50
  6. Step 6: Final answer
    x = 569,606.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.