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Finding the Third Proportional to 107,917 and 234,737

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Solution

The third proportional to 107,917 and 234,737 is: 510,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,917 : 234,737 = 234,737 : x
  2. Step 2: Convert to fraction form
    107,917/234,737 = 234,737/x
  3. Step 3: Cross multiply
    107,917x = 234,737 × 234,737
  4. Step 4: Simplify right side
    107,917x = 55,101,459,169
  5. Step 5: Solve for x
    x = 55,101,459,169/107,917
  6. Step 6: Final answer
    x = 510,591.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.