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Finding the Third Proportional to 107,984 and 232,523

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Solution

The third proportional to 107,984 and 232,523 is: 500,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,984 : 232,523 = 232,523 : x
  2. Step 2: Convert to fraction form
    107,984/232,523 = 232,523/x
  3. Step 3: Cross multiply
    107,984x = 232,523 × 232,523
  4. Step 4: Simplify right side
    107,984x = 54,066,945,529
  5. Step 5: Solve for x
    x = 54,066,945,529/107,984
  6. Step 6: Final answer
    x = 500,694.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.