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Finding the Third Proportional to 169,280 and 361,882

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Solution

The third proportional to 169,280 and 361,882 is: 773,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,280 : 361,882 = 361,882 : x
  2. Step 2: Convert to fraction form
    169,280/361,882 = 361,882/x
  3. Step 3: Cross multiply
    169,280x = 361,882 × 361,882
  4. Step 4: Simplify right side
    169,280x = 130,958,581,924
  5. Step 5: Solve for x
    x = 130,958,581,924/169,280
  6. Step 6: Final answer
    x = 773,621.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.