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Finding the Third Proportional to 109,657 and 234,882

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Solution

The third proportional to 109,657 and 234,882 is: 503,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657 : 234,882 = 234,882 : x
  2. Step 2: Convert to fraction form
    109,657/234,882 = 234,882/x
  3. Step 3: Cross multiply
    109,657x = 234,882 × 234,882
  4. Step 4: Simplify right side
    109,657x = 55,169,553,924
  5. Step 5: Solve for x
    x = 55,169,553,924/109,657
  6. Step 6: Final answer
    x = 503,110.19

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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.