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Finding the Third Proportional to 204,606 and 315,657

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Solution

The third proportional to 204,606 and 315,657 is: 486,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,606 : 315,657 = 315,657 : x
  2. Step 2: Convert to fraction form
    204,606/315,657 = 315,657/x
  3. Step 3: Cross multiply
    204,606x = 315,657 × 315,657
  4. Step 4: Simplify right side
    204,606x = 99,639,341,649
  5. Step 5: Solve for x
    x = 99,639,341,649/204,606
  6. Step 6: Final answer
    x = 486,981.52

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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.