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Finding the Third Proportional to 162,086.06 and 260,428.92

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Solution

The third proportional to 162,086.06 and 260,428.92 is: 418,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,086.06 : 260,428.92 = 260,428.92 : x
  2. Step 2: Convert to fraction form
    162,086.06/260,428.92 = 260,428.92/x
  3. Step 3: Cross multiply
    162,086.06x = 260,428.92 × 260,428.92
  4. Step 4: Simplify right side
    162,086.06x = 67,823,223,348.97
  5. Step 5: Solve for x
    x = 67,823,223,348.97/162,086.06
  6. Step 6: Final answer
    x = 418,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.