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Finding the Third Proportional to 108,427 and 234,953

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Solution

The third proportional to 108,427 and 234,953 is: 509,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,427 : 234,953 = 234,953 : x
  2. Step 2: Convert to fraction form
    108,427/234,953 = 234,953/x
  3. Step 3: Cross multiply
    108,427x = 234,953 × 234,953
  4. Step 4: Simplify right side
    108,427x = 55,202,912,209
  5. Step 5: Solve for x
    x = 55,202,912,209/108,427
  6. Step 6: Final answer
    x = 509,125.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.