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Finding the Third Proportional to 162,103 and 353,446

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Solution

The third proportional to 162,103 and 353,446 is: 770,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,103 : 353,446 = 353,446 : x
  2. Step 2: Convert to fraction form
    162,103/353,446 = 353,446/x
  3. Step 3: Cross multiply
    162,103x = 353,446 × 353,446
  4. Step 4: Simplify right side
    162,103x = 124,924,074,916
  5. Step 5: Solve for x
    x = 124,924,074,916/162,103
  6. Step 6: Final answer
    x = 770,646.29

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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.