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Finding the Third Proportional to 133,076 and 272,361

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Solution

The third proportional to 133,076 and 272,361 is: 557,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 272,361 = 272,361 : x
  2. Step 2: Convert to fraction form
    133,076/272,361 = 272,361/x
  3. Step 3: Cross multiply
    133,076x = 272,361 × 272,361
  4. Step 4: Simplify right side
    133,076x = 74,180,514,321
  5. Step 5: Solve for x
    x = 74,180,514,321/133,076
  6. Step 6: Final answer
    x = 557,429.70

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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.