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Finding the Third Proportional to 106,566 and 229,734

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Solution

The third proportional to 106,566 and 229,734 is: 495,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 229,734 = 229,734 : x
  2. Step 2: Convert to fraction form
    106,566/229,734 = 229,734/x
  3. Step 3: Cross multiply
    106,566x = 229,734 × 229,734
  4. Step 4: Simplify right side
    106,566x = 52,777,710,756
  5. Step 5: Solve for x
    x = 52,777,710,756/106,566
  6. Step 6: Final answer
    x = 495,258.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.