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Finding the Third Proportional to 169,821.56 and 359,872.88

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Solution

The third proportional to 169,821.56 and 359,872.88 is: 762,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,821.56 : 359,872.88 = 359,872.88 : x
  2. Step 2: Convert to fraction form
    169,821.56/359,872.88 = 359,872.88/x
  3. Step 3: Cross multiply
    169,821.56x = 359,872.88 × 359,872.88
  4. Step 4: Simplify right side
    169,821.56x = 129,508,486,160.77
  5. Step 5: Solve for x
    x = 129,508,486,160.77/169,821.56
  6. Step 6: Final answer
    x = 762,615.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.