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Finding the Third Proportional to 127,846 and 278,764

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Solution

The third proportional to 127,846 and 278,764 is: 607,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,846 : 278,764 = 278,764 : x
  2. Step 2: Convert to fraction form
    127,846/278,764 = 278,764/x
  3. Step 3: Cross multiply
    127,846x = 278,764 × 278,764
  4. Step 4: Simplify right side
    127,846x = 77,709,367,696
  5. Step 5: Solve for x
    x = 77,709,367,696/127,846
  6. Step 6: Final answer
    x = 607,835.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.