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Finding the Third Proportional to 143,201.25 and 282,787.88

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Solution

The third proportional to 143,201.25 and 282,787.88 is: 558,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,201.25 : 282,787.88 = 282,787.88 : x
  2. Step 2: Convert to fraction form
    143,201.25/282,787.88 = 282,787.88/x
  3. Step 3: Cross multiply
    143,201.25x = 282,787.88 × 282,787.88
  4. Step 4: Simplify right side
    143,201.25x = 79,968,982,247.02
  5. Step 5: Solve for x
    x = 79,968,982,247.02/143,201.25
  6. Step 6: Final answer
    x = 558,437.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.