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Finding the Third Proportional to 161,793.38 and 253,252.88

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Solution

The third proportional to 161,793.38 and 253,252.88 is: 396,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,793.38 : 253,252.88 = 253,252.88 : x
  2. Step 2: Convert to fraction form
    161,793.38/253,252.88 = 253,252.88/x
  3. Step 3: Cross multiply
    161,793.38x = 253,252.88 × 253,252.88
  4. Step 4: Simplify right side
    161,793.38x = 64,137,018,695.77
  5. Step 5: Solve for x
    x = 64,137,018,695.77/161,793.38
  6. Step 6: Final answer
    x = 396,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.