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Finding the Third Proportional to 162,446 and 252,502

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Solution

The third proportional to 162,446 and 252,502 is: 392,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,446 : 252,502 = 252,502 : x
  2. Step 2: Convert to fraction form
    162,446/252,502 = 252,502/x
  3. Step 3: Cross multiply
    162,446x = 252,502 × 252,502
  4. Step 4: Simplify right side
    162,446x = 63,757,260,004
  5. Step 5: Solve for x
    x = 63,757,260,004/162,446
  6. Step 6: Final answer
    x = 392,482.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.