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Finding the Third Proportional to 126,606 and 277,368

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Solution

The third proportional to 126,606 and 277,368 is: 607,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,606 : 277,368 = 277,368 : x
  2. Step 2: Convert to fraction form
    126,606/277,368 = 277,368/x
  3. Step 3: Cross multiply
    126,606x = 277,368 × 277,368
  4. Step 4: Simplify right side
    126,606x = 76,933,007,424
  5. Step 5: Solve for x
    x = 76,933,007,424/126,606
  6. Step 6: Final answer
    x = 607,656.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.