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Finding the Third Proportional to 166,957.88 and 250,438.50

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Solution

The third proportional to 166,957.88 and 250,438.50 is: 375,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,957.88 : 250,438.50 = 250,438.50 : x
  2. Step 2: Convert to fraction form
    166,957.88/250,438.50 = 250,438.50/x
  3. Step 3: Cross multiply
    166,957.88x = 250,438.50 × 250,438.50
  4. Step 4: Simplify right side
    166,957.88x = 62,719,442,282.25
  5. Step 5: Solve for x
    x = 62,719,442,282.25/166,957.88
  6. Step 6: Final answer
    x = 375,660.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.