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Finding the Third Proportional to 108,882 and 256,179.38

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Solution

The third proportional to 108,882 and 256,179.38 is: 602,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,882 : 256,179.38 = 256,179.38 : x
  2. Step 2: Convert to fraction form
    108,882/256,179.38 = 256,179.38/x
  3. Step 3: Cross multiply
    108,882x = 256,179.38 × 256,179.38
  4. Step 4: Simplify right side
    108,882x = 65,627,872,175.39
  5. Step 5: Solve for x
    x = 65,627,872,175.39/108,882
  6. Step 6: Final answer
    x = 602,743.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.