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Finding the Third Proportional to 235,220 and 517,096

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Solution

The third proportional to 235,220 and 517,096 is: 1,136,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,220 : 517,096 = 517,096 : x
  2. Step 2: Convert to fraction form
    235,220/517,096 = 517,096/x
  3. Step 3: Cross multiply
    235,220x = 517,096 × 517,096
  4. Step 4: Simplify right side
    235,220x = 267,388,273,216
  5. Step 5: Solve for x
    x = 267,388,273,216/235,220
  6. Step 6: Final answer
    x = 1,136,758.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.