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Finding the Third Proportional to 162,142 and 332,304

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Solution

The third proportional to 162,142 and 332,304 is: 681,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,142 : 332,304 = 332,304 : x
  2. Step 2: Convert to fraction form
    162,142/332,304 = 332,304/x
  3. Step 3: Cross multiply
    162,142x = 332,304 × 332,304
  4. Step 4: Simplify right side
    162,142x = 110,425,948,416
  5. Step 5: Solve for x
    x = 110,425,948,416/162,142
  6. Step 6: Final answer
    x = 681,044.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.