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Finding the Third Proportional to 126,363 and 277,998

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Solution

The third proportional to 126,363 and 277,998 is: 611,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,363 : 277,998 = 277,998 : x
  2. Step 2: Convert to fraction form
    126,363/277,998 = 277,998/x
  3. Step 3: Cross multiply
    126,363x = 277,998 × 277,998
  4. Step 4: Simplify right side
    126,363x = 77,282,888,004
  5. Step 5: Solve for x
    x = 77,282,888,004/126,363
  6. Step 6: Final answer
    x = 611,594.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.