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Finding the Third Proportional to 132,040 and 279,736

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Solution

The third proportional to 132,040 and 279,736 is: 592,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040 : 279,736 = 279,736 : x
  2. Step 2: Convert to fraction form
    132,040/279,736 = 279,736/x
  3. Step 3: Cross multiply
    132,040x = 279,736 × 279,736
  4. Step 4: Simplify right side
    132,040x = 78,252,229,696
  5. Step 5: Solve for x
    x = 78,252,229,696/132,040
  6. Step 6: Final answer
    x = 592,640.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.