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Finding the Third Proportional to 127,856.25 and 200,568.38

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Solution

The third proportional to 127,856.25 and 200,568.38 is: 314,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,856.25 : 200,568.38 = 200,568.38 : x
  2. Step 2: Convert to fraction form
    127,856.25/200,568.38 = 200,568.38/x
  3. Step 3: Cross multiply
    127,856.25x = 200,568.38 × 200,568.38
  4. Step 4: Simplify right side
    127,856.25x = 40,227,673,050.14
  5. Step 5: Solve for x
    x = 40,227,673,050.14/127,856.25
  6. Step 6: Final answer
    x = 314,632.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.