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Finding the Third Proportional to 171,022 and 371,246

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Solution

The third proportional to 171,022 and 371,246 is: 805,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022 : 371,246 = 371,246 : x
  2. Step 2: Convert to fraction form
    171,022/371,246 = 371,246/x
  3. Step 3: Cross multiply
    171,022x = 371,246 × 371,246
  4. Step 4: Simplify right side
    171,022x = 137,823,592,516
  5. Step 5: Solve for x
    x = 137,823,592,516/171,022
  6. Step 6: Final answer
    x = 805,882.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.