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Finding the Third Proportional to 235,172 and 517,165

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Solution

The third proportional to 235,172 and 517,165 is: 1,137,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,172 : 517,165 = 517,165 : x
  2. Step 2: Convert to fraction form
    235,172/517,165 = 517,165/x
  3. Step 3: Cross multiply
    235,172x = 517,165 × 517,165
  4. Step 4: Simplify right side
    235,172x = 267,459,637,225
  5. Step 5: Solve for x
    x = 267,459,637,225/235,172
  6. Step 6: Final answer
    x = 1,137,293.71

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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.