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Finding the Third Proportional to 127,703 and 277,744

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Solution

The third proportional to 127,703 and 277,744 is: 604,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,703 : 277,744 = 277,744 : x
  2. Step 2: Convert to fraction form
    127,703/277,744 = 277,744/x
  3. Step 3: Cross multiply
    127,703x = 277,744 × 277,744
  4. Step 4: Simplify right side
    127,703x = 77,141,729,536
  5. Step 5: Solve for x
    x = 77,141,729,536/127,703
  6. Step 6: Final answer
    x = 604,071.40

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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.