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Finding the Third Proportional to 107,806 and 234,459

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Solution

The third proportional to 107,806 and 234,459 is: 509,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,806 : 234,459 = 234,459 : x
  2. Step 2: Convert to fraction form
    107,806/234,459 = 234,459/x
  3. Step 3: Cross multiply
    107,806x = 234,459 × 234,459
  4. Step 4: Simplify right side
    107,806x = 54,971,022,681
  5. Step 5: Solve for x
    x = 54,971,022,681/107,806
  6. Step 6: Final answer
    x = 509,906.89

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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.