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Finding the Third Proportional to 170,068 and 245,845

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Solution

The third proportional to 170,068 and 245,845 is: 355,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,068 : 245,845 = 245,845 : x
  2. Step 2: Convert to fraction form
    170,068/245,845 = 245,845/x
  3. Step 3: Cross multiply
    170,068x = 245,845 × 245,845
  4. Step 4: Simplify right side
    170,068x = 60,439,764,025
  5. Step 5: Solve for x
    x = 60,439,764,025/170,068
  6. Step 6: Final answer
    x = 355,385.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.