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Finding the Third Proportional to 125,199 and 277,418.25

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Solution

The third proportional to 125,199 and 277,418.25 is: 614,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,199 : 277,418.25 = 277,418.25 : x
  2. Step 2: Convert to fraction form
    125,199/277,418.25 = 277,418.25/x
  3. Step 3: Cross multiply
    125,199x = 277,418.25 × 277,418.25
  4. Step 4: Simplify right side
    125,199x = 76,960,885,433.06
  5. Step 5: Solve for x
    x = 76,960,885,433.06/125,199
  6. Step 6: Final answer
    x = 614,708.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.