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Finding the Third Proportional to 133,037 and 272,288

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Solution

The third proportional to 133,037 and 272,288 is: 557,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 272,288 = 272,288 : x
  2. Step 2: Convert to fraction form
    133,037/272,288 = 272,288/x
  3. Step 3: Cross multiply
    133,037x = 272,288 × 272,288
  4. Step 4: Simplify right side
    133,037x = 74,140,754,944
  5. Step 5: Solve for x
    x = 74,140,754,944/133,037
  6. Step 6: Final answer
    x = 557,294.25

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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.