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Finding the Third Proportional to 169,306 and 361,934

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Solution

The third proportional to 169,306 and 361,934 is: 773,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,306 : 361,934 = 361,934 : x
  2. Step 2: Convert to fraction form
    169,306/361,934 = 361,934/x
  3. Step 3: Cross multiply
    169,306x = 361,934 × 361,934
  4. Step 4: Simplify right side
    169,306x = 130,996,220,356
  5. Step 5: Solve for x
    x = 130,996,220,356/169,306
  6. Step 6: Final answer
    x = 773,724.62

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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.