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Finding the Third Proportional to 169,794 and 229,779

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Solution

The third proportional to 169,794 and 229,779 is: 310,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,794 : 229,779 = 229,779 : x
  2. Step 2: Convert to fraction form
    169,794/229,779 = 229,779/x
  3. Step 3: Cross multiply
    169,794x = 229,779 × 229,779
  4. Step 4: Simplify right side
    169,794x = 52,798,388,841
  5. Step 5: Solve for x
    x = 52,798,388,841/169,794
  6. Step 6: Final answer
    x = 310,955.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.