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Finding the Third Proportional to 132,988 and 284,408

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Solution

The third proportional to 132,988 and 284,408 is: 608,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,988 : 284,408 = 284,408 : x
  2. Step 2: Convert to fraction form
    132,988/284,408 = 284,408/x
  3. Step 3: Cross multiply
    132,988x = 284,408 × 284,408
  4. Step 4: Simplify right side
    132,988x = 80,887,910,464
  5. Step 5: Solve for x
    x = 80,887,910,464/132,988
  6. Step 6: Final answer
    x = 608,234.66

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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.