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Finding the Third Proportional to 134,877 and 291,624

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Solution

The third proportional to 134,877 and 291,624 is: 630,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,877 : 291,624 = 291,624 : x
  2. Step 2: Convert to fraction form
    134,877/291,624 = 291,624/x
  3. Step 3: Cross multiply
    134,877x = 291,624 × 291,624
  4. Step 4: Simplify right side
    134,877x = 85,044,557,376
  5. Step 5: Solve for x
    x = 85,044,557,376/134,877
  6. Step 6: Final answer
    x = 630,534.17

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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.