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Finding the Third Proportional to 169,675 and 372,972

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Solution

The third proportional to 169,675 and 372,972 is: 819,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,675 : 372,972 = 372,972 : x
  2. Step 2: Convert to fraction form
    169,675/372,972 = 372,972/x
  3. Step 3: Cross multiply
    169,675x = 372,972 × 372,972
  4. Step 4: Simplify right side
    169,675x = 139,108,112,784
  5. Step 5: Solve for x
    x = 139,108,112,784/169,675
  6. Step 6: Final answer
    x = 819,850.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.