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Finding the Third Proportional to 96,742 and 217,280

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Solution

The third proportional to 96,742 and 217,280 is: 488,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742 : 217,280 = 217,280 : x
  2. Step 2: Convert to fraction form
    96,742/217,280 = 217,280/x
  3. Step 3: Cross multiply
    96,742x = 217,280 × 217,280
  4. Step 4: Simplify right side
    96,742x = 47,210,598,400
  5. Step 5: Solve for x
    x = 47,210,598,400/96,742
  6. Step 6: Final answer
    x = 488,005.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.