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Finding the Third Proportional to 162,882 and 353,616

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Solution

The third proportional to 162,882 and 353,616 is: 767,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,882 : 353,616 = 353,616 : x
  2. Step 2: Convert to fraction form
    162,882/353,616 = 353,616/x
  3. Step 3: Cross multiply
    162,882x = 353,616 × 353,616
  4. Step 4: Simplify right side
    162,882x = 125,044,275,456
  5. Step 5: Solve for x
    x = 125,044,275,456/162,882
  6. Step 6: Final answer
    x = 767,698.55

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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.