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Finding the Third Proportional to 96,560 and 204,784

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Solution

The third proportional to 96,560 and 204,784 is: 434,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,560 : 204,784 = 204,784 : x
  2. Step 2: Convert to fraction form
    96,560/204,784 = 204,784/x
  3. Step 3: Cross multiply
    96,560x = 204,784 × 204,784
  4. Step 4: Simplify right side
    96,560x = 41,936,486,656
  5. Step 5: Solve for x
    x = 41,936,486,656/96,560
  6. Step 6: Final answer
    x = 434,304.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.