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Finding the Third Proportional to 132,356 and 283,180

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Solution

The third proportional to 132,356 and 283,180 is: 605,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,356 : 283,180 = 283,180 : x
  2. Step 2: Convert to fraction form
    132,356/283,180 = 283,180/x
  3. Step 3: Cross multiply
    132,356x = 283,180 × 283,180
  4. Step 4: Simplify right side
    132,356x = 80,190,912,400
  5. Step 5: Solve for x
    x = 80,190,912,400/132,356
  6. Step 6: Final answer
    x = 605,872.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.