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Finding the Third Proportional to 107,476 and 232,464

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Solution

The third proportional to 107,476 and 232,464 is: 502,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,476 : 232,464 = 232,464 : x
  2. Step 2: Convert to fraction form
    107,476/232,464 = 232,464/x
  3. Step 3: Cross multiply
    107,476x = 232,464 × 232,464
  4. Step 4: Simplify right side
    107,476x = 54,039,511,296
  5. Step 5: Solve for x
    x = 54,039,511,296/107,476
  6. Step 6: Final answer
    x = 502,805.38

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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.