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Finding the Third Proportional to 163,743.38 and 260,377.88

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Solution

The third proportional to 163,743.38 and 260,377.88 is: 414,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,743.38 : 260,377.88 = 260,377.88 : x
  2. Step 2: Convert to fraction form
    163,743.38/260,377.88 = 260,377.88/x
  3. Step 3: Cross multiply
    163,743.38x = 260,377.88 × 260,377.88
  4. Step 4: Simplify right side
    163,743.38x = 67,796,637,789.52
  5. Step 5: Solve for x
    x = 67,796,637,789.52/163,743.38
  6. Step 6: Final answer
    x = 414,042.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.