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Finding the Third Proportional to 201,754 and 269,416

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Solution

The third proportional to 201,754 and 269,416 is: 359,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754 : 269,416 = 269,416 : x
  2. Step 2: Convert to fraction form
    201,754/269,416 = 269,416/x
  3. Step 3: Cross multiply
    201,754x = 269,416 × 269,416
  4. Step 4: Simplify right side
    201,754x = 72,584,981,056
  5. Step 5: Solve for x
    x = 72,584,981,056/201,754
  6. Step 6: Final answer
    x = 359,769.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.