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Finding the Third Proportional to 127,828 and 200,535

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Solution

The third proportional to 127,828 and 200,535 is: 314,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,828 : 200,535 = 200,535 : x
  2. Step 2: Convert to fraction form
    127,828/200,535 = 200,535/x
  3. Step 3: Cross multiply
    127,828x = 200,535 × 200,535
  4. Step 4: Simplify right side
    127,828x = 40,214,286,225
  5. Step 5: Solve for x
    x = 40,214,286,225/127,828
  6. Step 6: Final answer
    x = 314,596.85

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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.