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Finding the Third Proportional to 108,527 and 232,629

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Solution

The third proportional to 108,527 and 232,629 is: 498,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,527 : 232,629 = 232,629 : x
  2. Step 2: Convert to fraction form
    108,527/232,629 = 232,629/x
  3. Step 3: Cross multiply
    108,527x = 232,629 × 232,629
  4. Step 4: Simplify right side
    108,527x = 54,116,251,641
  5. Step 5: Solve for x
    x = 54,116,251,641/108,527
  6. Step 6: Final answer
    x = 498,643.21

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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.