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Finding the Third Proportional to 170,868.50 and 399,226

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Solution

The third proportional to 170,868.50 and 399,226 is: 932,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,868.50 : 399,226 = 399,226 : x
  2. Step 2: Convert to fraction form
    170,868.50/399,226 = 399,226/x
  3. Step 3: Cross multiply
    170,868.50x = 399,226 × 399,226
  4. Step 4: Simplify right side
    170,868.50x = 159,381,399,076
  5. Step 5: Solve for x
    x = 159,381,399,076/170,868.50
  6. Step 6: Final answer
    x = 932,772.27

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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.