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Finding the Third Proportional to 160,473.38 and 343,717.88

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Solution

The third proportional to 160,473.38 and 343,717.88 is: 736,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,473.38 : 343,717.88 = 343,717.88 : x
  2. Step 2: Convert to fraction form
    160,473.38/343,717.88 = 343,717.88/x
  3. Step 3: Cross multiply
    160,473.38x = 343,717.88 × 343,717.88
  4. Step 4: Simplify right side
    160,473.38x = 118,141,977,594.52
  5. Step 5: Solve for x
    x = 118,141,977,594.52/160,473.38
  6. Step 6: Final answer
    x = 736,209.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.