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Finding the Third Proportional to 108,536 and 232,645

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Solution

The third proportional to 108,536 and 232,645 is: 498,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,536 : 232,645 = 232,645 : x
  2. Step 2: Convert to fraction form
    108,536/232,645 = 232,645/x
  3. Step 3: Cross multiply
    108,536x = 232,645 × 232,645
  4. Step 4: Simplify right side
    108,536x = 54,123,696,025
  5. Step 5: Solve for x
    x = 54,123,696,025/108,536
  6. Step 6: Final answer
    x = 498,670.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.