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Finding the Third Proportional to 118,352.25 and 166,470.75

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Solution

The third proportional to 118,352.25 and 166,470.75 is: 234,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,352.25 : 166,470.75 = 166,470.75 : x
  2. Step 2: Convert to fraction form
    118,352.25/166,470.75 = 166,470.75/x
  3. Step 3: Cross multiply
    118,352.25x = 166,470.75 × 166,470.75
  4. Step 4: Simplify right side
    118,352.25x = 27,712,510,605.56
  5. Step 5: Solve for x
    x = 27,712,510,605.56/118,352.25
  6. Step 6: Final answer
    x = 234,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.