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Finding the Third Proportional to 163,786.13 and 347,251.88

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Solution

The third proportional to 163,786.13 and 347,251.88 is: 736,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786.13 : 347,251.88 = 347,251.88 : x
  2. Step 2: Convert to fraction form
    163,786.13/347,251.88 = 347,251.88/x
  3. Step 3: Cross multiply
    163,786.13x = 347,251.88 × 347,251.88
  4. Step 4: Simplify right side
    163,786.13x = 120,583,864,691.02
  5. Step 5: Solve for x
    x = 120,583,864,691.02/163,786.13
  6. Step 6: Final answer
    x = 736,227.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.