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Finding the Third Proportional to 161,656.45 and 381,069.23

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Solution

The third proportional to 161,656.45 and 381,069.23 is: 898,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,656.45 : 381,069.23 = 381,069.23 : x
  2. Step 2: Convert to fraction form
    161,656.45/381,069.23 = 381,069.23/x
  3. Step 3: Cross multiply
    161,656.45x = 381,069.23 × 381,069.23
  4. Step 4: Simplify right side
    161,656.45x = 145,213,761,387.15
  5. Step 5: Solve for x
    x = 145,213,761,387.15/161,656.45
  6. Step 6: Final answer
    x = 898,286.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.