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Finding the Third Proportional to 123,156 and 266,554

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Solution

The third proportional to 123,156 and 266,554 is: 576,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156 : 266,554 = 266,554 : x
  2. Step 2: Convert to fraction form
    123,156/266,554 = 266,554/x
  3. Step 3: Cross multiply
    123,156x = 266,554 × 266,554
  4. Step 4: Simplify right side
    123,156x = 71,051,034,916
  5. Step 5: Solve for x
    x = 71,051,034,916/123,156
  6. Step 6: Final answer
    x = 576,918.99

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Why These Related Problems?

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