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Finding the Third Proportional to 123,156.75 and 266,553.75

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Solution

The third proportional to 123,156.75 and 266,553.75 is: 576,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156.75 : 266,553.75 = 266,553.75 : x
  2. Step 2: Convert to fraction form
    123,156.75/266,553.75 = 266,553.75/x
  3. Step 3: Cross multiply
    123,156.75x = 266,553.75 × 266,553.75
  4. Step 4: Simplify right side
    123,156.75x = 71,050,901,639.06
  5. Step 5: Solve for x
    x = 71,050,901,639.06/123,156.75
  6. Step 6: Final answer
    x = 576,914.39

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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.