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Finding the Third Proportional to 108,164 and 232,424

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Solution

The third proportional to 108,164 and 232,424 is: 499,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,164 : 232,424 = 232,424 : x
  2. Step 2: Convert to fraction form
    108,164/232,424 = 232,424/x
  3. Step 3: Cross multiply
    108,164x = 232,424 × 232,424
  4. Step 4: Simplify right side
    108,164x = 54,020,915,776
  5. Step 5: Solve for x
    x = 54,020,915,776/108,164
  6. Step 6: Final answer
    x = 499,435.26

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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.