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Finding the Third Proportional to 127,928.25 and 202,422.38

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Solution

The third proportional to 127,928.25 and 202,422.38 is: 320,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,928.25 : 202,422.38 = 202,422.38 : x
  2. Step 2: Convert to fraction form
    127,928.25/202,422.38 = 202,422.38/x
  3. Step 3: Cross multiply
    127,928.25x = 202,422.38 × 202,422.38
  4. Step 4: Simplify right side
    127,928.25x = 40,974,817,900.64
  5. Step 5: Solve for x
    x = 40,974,817,900.64/127,928.25
  6. Step 6: Final answer
    x = 320,295.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.