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Finding the Third Proportional to 235,180 and 517,180

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Solution

The third proportional to 235,180 and 517,180 is: 1,137,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,180 : 517,180 = 517,180 : x
  2. Step 2: Convert to fraction form
    235,180/517,180 = 517,180/x
  3. Step 3: Cross multiply
    235,180x = 517,180 × 517,180
  4. Step 4: Simplify right side
    235,180x = 267,475,152,400
  5. Step 5: Solve for x
    x = 267,475,152,400/235,180
  6. Step 6: Final answer
    x = 1,137,321.00

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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.