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Finding the Third Proportional to 123,019.50 and 266,439

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Solution

The third proportional to 123,019.50 and 266,439 is: 577,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,019.50 : 266,439 = 266,439 : x
  2. Step 2: Convert to fraction form
    123,019.50/266,439 = 266,439/x
  3. Step 3: Cross multiply
    123,019.50x = 266,439 × 266,439
  4. Step 4: Simplify right side
    123,019.50x = 70,989,740,721
  5. Step 5: Solve for x
    x = 70,989,740,721/123,019.50
  6. Step 6: Final answer
    x = 577,060.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.