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Finding the Third Proportional to 169,242 and 360,217

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Solution

The third proportional to 169,242 and 360,217 is: 766,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242 : 360,217 = 360,217 : x
  2. Step 2: Convert to fraction form
    169,242/360,217 = 360,217/x
  3. Step 3: Cross multiply
    169,242x = 360,217 × 360,217
  4. Step 4: Simplify right side
    169,242x = 129,756,287,089
  5. Step 5: Solve for x
    x = 129,756,287,089/169,242
  6. Step 6: Final answer
    x = 766,690.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.