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Finding the Third Proportional to 165,534 and 223,561

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Solution

The third proportional to 165,534 and 223,561 is: 301,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,534 : 223,561 = 223,561 : x
  2. Step 2: Convert to fraction form
    165,534/223,561 = 223,561/x
  3. Step 3: Cross multiply
    165,534x = 223,561 × 223,561
  4. Step 4: Simplify right side
    165,534x = 49,979,520,721
  5. Step 5: Solve for x
    x = 49,979,520,721/165,534
  6. Step 6: Final answer
    x = 301,929.03

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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.