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Finding the Third Proportional to 204,630 and 315,696

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Solution

The third proportional to 204,630 and 315,696 is: 487,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,630 : 315,696 = 315,696 : x
  2. Step 2: Convert to fraction form
    204,630/315,696 = 315,696/x
  3. Step 3: Cross multiply
    204,630x = 315,696 × 315,696
  4. Step 4: Simplify right side
    204,630x = 99,663,964,416
  5. Step 5: Solve for x
    x = 99,663,964,416/204,630
  6. Step 6: Final answer
    x = 487,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.