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Finding the Third Proportional to 127,850 and 278,008

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Solution

The third proportional to 127,850 and 278,008 is: 604,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850 : 278,008 = 278,008 : x
  2. Step 2: Convert to fraction form
    127,850/278,008 = 278,008/x
  3. Step 3: Cross multiply
    127,850x = 278,008 × 278,008
  4. Step 4: Simplify right side
    127,850x = 77,288,448,064
  5. Step 5: Solve for x
    x = 77,288,448,064/127,850
  6. Step 6: Final answer
    x = 604,524.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.