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Finding the Third Proportional to 123,652.50 and 266,500.50

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Solution

The third proportional to 123,652.50 and 266,500.50 is: 574,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,652.50 : 266,500.50 = 266,500.50 : x
  2. Step 2: Convert to fraction form
    123,652.50/266,500.50 = 266,500.50/x
  3. Step 3: Cross multiply
    123,652.50x = 266,500.50 × 266,500.50
  4. Step 4: Simplify right side
    123,652.50x = 71,022,516,500.25
  5. Step 5: Solve for x
    x = 71,022,516,500.25/123,652.50
  6. Step 6: Final answer
    x = 574,371.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.