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Finding the Third Proportional to 123,610.50 and 266,418

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Solution

The third proportional to 123,610.50 and 266,418 is: 574,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,610.50 : 266,418 = 266,418 : x
  2. Step 2: Convert to fraction form
    123,610.50/266,418 = 266,418/x
  3. Step 3: Cross multiply
    123,610.50x = 266,418 × 266,418
  4. Step 4: Simplify right side
    123,610.50x = 70,978,550,724
  5. Step 5: Solve for x
    x = 70,978,550,724/123,610.50
  6. Step 6: Final answer
    x = 574,211.34

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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.