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Finding the Third Proportional to 127,180.75 and 202,446.25

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Solution

The third proportional to 127,180.75 and 202,446.25 is: 322,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180.75 : 202,446.25 = 202,446.25 : x
  2. Step 2: Convert to fraction form
    127,180.75/202,446.25 = 202,446.25/x
  3. Step 3: Cross multiply
    127,180.75x = 202,446.25 × 202,446.25
  4. Step 4: Simplify right side
    127,180.75x = 40,984,484,139.06
  5. Step 5: Solve for x
    x = 40,984,484,139.06/127,180.75
  6. Step 6: Final answer
    x = 322,253.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.