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Finding the Third Proportional to 166,950 and 393,707.25

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Solution

The third proportional to 166,950 and 393,707.25 is: 928,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,950 : 393,707.25 = 393,707.25 : x
  2. Step 2: Convert to fraction form
    166,950/393,707.25 = 393,707.25/x
  3. Step 3: Cross multiply
    166,950x = 393,707.25 × 393,707.25
  4. Step 4: Simplify right side
    166,950x = 155,005,398,702.56
  5. Step 5: Solve for x
    x = 155,005,398,702.56/166,950
  6. Step 6: Final answer
    x = 928,454.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.