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Finding the Third Proportional to 108,534 and 232,641

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Solution

The third proportional to 108,534 and 232,641 is: 498,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534 : 232,641 = 232,641 : x
  2. Step 2: Convert to fraction form
    108,534/232,641 = 232,641/x
  3. Step 3: Cross multiply
    108,534x = 232,641 × 232,641
  4. Step 4: Simplify right side
    108,534x = 54,121,834,881
  5. Step 5: Solve for x
    x = 54,121,834,881/108,534
  6. Step 6: Final answer
    x = 498,662.49

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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.