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Finding the Third Proportional to 107,834 and 234,559

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Solution

The third proportional to 107,834 and 234,559 is: 510,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,834 : 234,559 = 234,559 : x
  2. Step 2: Convert to fraction form
    107,834/234,559 = 234,559/x
  3. Step 3: Cross multiply
    107,834x = 234,559 × 234,559
  4. Step 4: Simplify right side
    107,834x = 55,017,924,481
  5. Step 5: Solve for x
    x = 55,017,924,481/107,834
  6. Step 6: Final answer
    x = 510,209.44

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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.