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Finding the Third Proportional to 170,332 and 397,846

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Solution

The third proportional to 170,332 and 397,846 is: 929,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,332 : 397,846 = 397,846 : x
  2. Step 2: Convert to fraction form
    170,332/397,846 = 397,846/x
  3. Step 3: Cross multiply
    170,332x = 397,846 × 397,846
  4. Step 4: Simplify right side
    170,332x = 158,281,439,716
  5. Step 5: Solve for x
    x = 158,281,439,716/170,332
  6. Step 6: Final answer
    x = 929,252.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.