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Finding the Third Proportional to 106,568 and 229,738

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Solution

The third proportional to 106,568 and 229,738 is: 495,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568 : 229,738 = 229,738 : x
  2. Step 2: Convert to fraction form
    106,568/229,738 = 229,738/x
  3. Step 3: Cross multiply
    106,568x = 229,738 × 229,738
  4. Step 4: Simplify right side
    106,568x = 52,779,548,644
  5. Step 5: Solve for x
    x = 52,779,548,644/106,568
  6. Step 6: Final answer
    x = 495,266.39

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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.