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Finding the Third Proportional to 127,782 and 277,866

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Solution

The third proportional to 127,782 and 277,866 is: 604,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,782 : 277,866 = 277,866 : x
  2. Step 2: Convert to fraction form
    127,782/277,866 = 277,866/x
  3. Step 3: Cross multiply
    127,782x = 277,866 × 277,866
  4. Step 4: Simplify right side
    127,782x = 77,209,513,956
  5. Step 5: Solve for x
    x = 77,209,513,956/127,782
  6. Step 6: Final answer
    x = 604,228.40

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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.