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Finding the Third Proportional to 143,046.42 and 216,410.91

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Solution

The third proportional to 143,046.42 and 216,410.91 is: 327,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,046.42 : 216,410.91 = 216,410.91 : x
  2. Step 2: Convert to fraction form
    143,046.42/216,410.91 = 216,410.91/x
  3. Step 3: Cross multiply
    143,046.42x = 216,410.91 × 216,410.91
  4. Step 4: Simplify right side
    143,046.42x = 46,833,680,343.95
  5. Step 5: Solve for x
    x = 46,833,680,343.95/143,046.42
  6. Step 6: Final answer
    x = 327,401.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.