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Finding the Third Proportional to 170,718 and 372,966

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Solution

The third proportional to 170,718 and 372,966 is: 814,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,718 : 372,966 = 372,966 : x
  2. Step 2: Convert to fraction form
    170,718/372,966 = 372,966/x
  3. Step 3: Cross multiply
    170,718x = 372,966 × 372,966
  4. Step 4: Simplify right side
    170,718x = 139,103,637,156
  5. Step 5: Solve for x
    x = 139,103,637,156/170,718
  6. Step 6: Final answer
    x = 814,815.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.