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Finding the Third Proportional to 132,348 and 283,164

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Solution

The third proportional to 132,348 and 283,164 is: 605,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,348 : 283,164 = 283,164 : x
  2. Step 2: Convert to fraction form
    132,348/283,164 = 283,164/x
  3. Step 3: Cross multiply
    132,348x = 283,164 × 283,164
  4. Step 4: Simplify right side
    132,348x = 80,181,850,896
  5. Step 5: Solve for x
    x = 80,181,850,896/132,348
  6. Step 6: Final answer
    x = 605,841.05

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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.