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Finding the Third Proportional to 127,825.59 and 198,470.25

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Solution

The third proportional to 127,825.59 and 198,470.25 is: 308,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,825.59 : 198,470.25 = 198,470.25 : x
  2. Step 2: Convert to fraction form
    127,825.59/198,470.25 = 198,470.25/x
  3. Step 3: Cross multiply
    127,825.59x = 198,470.25 × 198,470.25
  4. Step 4: Simplify right side
    127,825.59x = 39,390,440,135.06
  5. Step 5: Solve for x
    x = 39,390,440,135.06/127,825.59
  6. Step 6: Final answer
    x = 308,157.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.