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Finding the Third Proportional to 106,746 and 229,986

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Solution

The third proportional to 106,746 and 229,986 is: 495,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,746 : 229,986 = 229,986 : x
  2. Step 2: Convert to fraction form
    106,746/229,986 = 229,986/x
  3. Step 3: Cross multiply
    106,746x = 229,986 × 229,986
  4. Step 4: Simplify right side
    106,746x = 52,893,560,196
  5. Step 5: Solve for x
    x = 52,893,560,196/106,746
  6. Step 6: Final answer
    x = 495,508.59

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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.