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Finding the Third Proportional to 133,040 and 272,294

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Solution

The third proportional to 133,040 and 272,294 is: 557,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 272,294 = 272,294 : x
  2. Step 2: Convert to fraction form
    133,040/272,294 = 272,294/x
  3. Step 3: Cross multiply
    133,040x = 272,294 × 272,294
  4. Step 4: Simplify right side
    133,040x = 74,144,022,436
  5. Step 5: Solve for x
    x = 74,144,022,436/133,040
  6. Step 6: Final answer
    x = 557,306.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.