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Finding the Third Proportional to 171,766 and 366,362

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Solution

The third proportional to 171,766 and 366,362 is: 781,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,766 : 366,362 = 366,362 : x
  2. Step 2: Convert to fraction form
    171,766/366,362 = 366,362/x
  3. Step 3: Cross multiply
    171,766x = 366,362 × 366,362
  4. Step 4: Simplify right side
    171,766x = 134,221,115,044
  5. Step 5: Solve for x
    x = 134,221,115,044/171,766
  6. Step 6: Final answer
    x = 781,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.