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Finding the Third Proportional to 126,360 and 277,992

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Solution

The third proportional to 126,360 and 277,992 is: 611,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,360 : 277,992 = 277,992 : x
  2. Step 2: Convert to fraction form
    126,360/277,992 = 277,992/x
  3. Step 3: Cross multiply
    126,360x = 277,992 × 277,992
  4. Step 4: Simplify right side
    126,360x = 77,279,552,064
  5. Step 5: Solve for x
    x = 77,279,552,064/126,360
  6. Step 6: Final answer
    x = 611,582.40

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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.