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Finding the Third Proportional to 106,750 and 229,994

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Solution

The third proportional to 106,750 and 229,994 is: 495,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750 : 229,994 = 229,994 : x
  2. Step 2: Convert to fraction form
    106,750/229,994 = 229,994/x
  3. Step 3: Cross multiply
    106,750x = 229,994 × 229,994
  4. Step 4: Simplify right side
    106,750x = 52,897,240,036
  5. Step 5: Solve for x
    x = 52,897,240,036/106,750
  6. Step 6: Final answer
    x = 495,524.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.