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Finding the Third Proportional to 126,306 and 201,285

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Solution

The third proportional to 126,306 and 201,285 is: 320,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,306 : 201,285 = 201,285 : x
  2. Step 2: Convert to fraction form
    126,306/201,285 = 201,285/x
  3. Step 3: Cross multiply
    126,306x = 201,285 × 201,285
  4. Step 4: Simplify right side
    126,306x = 40,515,651,225
  5. Step 5: Solve for x
    x = 40,515,651,225/126,306
  6. Step 6: Final answer
    x = 320,773.77

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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.