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Finding the Third Proportional to 70,338 and 165,942

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Solution

The third proportional to 70,338 and 165,942 is: 391,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338 : 165,942 = 165,942 : x
  2. Step 2: Convert to fraction form
    70,338/165,942 = 165,942/x
  3. Step 3: Cross multiply
    70,338x = 165,942 × 165,942
  4. Step 4: Simplify right side
    70,338x = 27,536,747,364
  5. Step 5: Solve for x
    x = 27,536,747,364/70,338
  6. Step 6: Final answer
    x = 391,491.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.