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Finding the Third Proportional to 168,282 and 359,016

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Solution

The third proportional to 168,282 and 359,016 is: 765,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,282 : 359,016 = 359,016 : x
  2. Step 2: Convert to fraction form
    168,282/359,016 = 359,016/x
  3. Step 3: Cross multiply
    168,282x = 359,016 × 359,016
  4. Step 4: Simplify right side
    168,282x = 128,892,488,256
  5. Step 5: Solve for x
    x = 128,892,488,256/168,282
  6. Step 6: Final answer
    x = 765,931.52

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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.