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Finding the Third Proportional to 162,116.44 and 260,470.69

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Solution

The third proportional to 162,116.44 and 260,470.69 is: 418,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,116.44 : 260,470.69 = 260,470.69 : x
  2. Step 2: Convert to fraction form
    162,116.44/260,470.69 = 260,470.69/x
  3. Step 3: Cross multiply
    162,116.44x = 260,470.69 × 260,470.69
  4. Step 4: Simplify right side
    162,116.44x = 67,844,979,046.72
  5. Step 5: Solve for x
    x = 67,844,979,046.72/162,116.44
  6. Step 6: Final answer
    x = 418,495.37

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