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Finding the Third Proportional to 127,800 and 277,893

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Solution

The third proportional to 127,800 and 277,893 is: 604,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,800 : 277,893 = 277,893 : x
  2. Step 2: Convert to fraction form
    127,800/277,893 = 277,893/x
  3. Step 3: Cross multiply
    127,800x = 277,893 × 277,893
  4. Step 4: Simplify right side
    127,800x = 77,224,519,449
  5. Step 5: Solve for x
    x = 77,224,519,449/127,800
  6. Step 6: Final answer
    x = 604,260.72

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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.