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Finding the Third Proportional to 160,549.31 and 250,015.78

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Solution

The third proportional to 160,549.31 and 250,015.78 is: 389,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,549.31 : 250,015.78 = 250,015.78 : x
  2. Step 2: Convert to fraction form
    160,549.31/250,015.78 = 250,015.78/x
  3. Step 3: Cross multiply
    160,549.31x = 250,015.78 × 250,015.78
  4. Step 4: Simplify right side
    160,549.31x = 62,507,890,874.05
  5. Step 5: Solve for x
    x = 62,507,890,874.05/160,549.31
  6. Step 6: Final answer
    x = 389,337.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.