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Finding the Third Proportional to 235,168 and 517,156

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Solution

The third proportional to 235,168 and 517,156 is: 1,137,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,168 : 517,156 = 517,156 : x
  2. Step 2: Convert to fraction form
    235,168/517,156 = 517,156/x
  3. Step 3: Cross multiply
    235,168x = 517,156 × 517,156
  4. Step 4: Simplify right side
    235,168x = 267,450,328,336
  5. Step 5: Solve for x
    x = 267,450,328,336/235,168
  6. Step 6: Final answer
    x = 1,137,273.47

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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.