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Finding the Third Proportional to 105,877 and 232,502

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Solution

The third proportional to 105,877 and 232,502 is: 510,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,877 : 232,502 = 232,502 : x
  2. Step 2: Convert to fraction form
    105,877/232,502 = 232,502/x
  3. Step 3: Cross multiply
    105,877x = 232,502 × 232,502
  4. Step 4: Simplify right side
    105,877x = 54,057,180,004
  5. Step 5: Solve for x
    x = 54,057,180,004/105,877
  6. Step 6: Final answer
    x = 510,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.