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Finding the Third Proportional to 142,463.94 and 219,863.88

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Solution

The third proportional to 142,463.94 and 219,863.88 is: 339,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,463.94 : 219,863.88 = 219,863.88 : x
  2. Step 2: Convert to fraction form
    142,463.94/219,863.88 = 219,863.88/x
  3. Step 3: Cross multiply
    142,463.94x = 219,863.88 × 219,863.88
  4. Step 4: Simplify right side
    142,463.94x = 48,340,123,530.02
  5. Step 5: Solve for x
    x = 48,340,123,530.02/142,463.94
  6. Step 6: Final answer
    x = 339,314.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.