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Finding the Third Proportional to 160,319.81 and 338,743.13

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Solution

The third proportional to 160,319.81 and 338,743.13 is: 715,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,319.81 : 338,743.13 = 338,743.13 : x
  2. Step 2: Convert to fraction form
    160,319.81/338,743.13 = 338,743.13/x
  3. Step 3: Cross multiply
    160,319.81x = 338,743.13 × 338,743.13
  4. Step 4: Simplify right side
    160,319.81x = 114,746,904,734.77
  5. Step 5: Solve for x
    x = 114,746,904,734.77/160,319.81
  6. Step 6: Final answer
    x = 715,737.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.