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Finding the Third Proportional to 163,721 and 244,571

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Solution

The third proportional to 163,721 and 244,571 is: 365,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,721 : 244,571 = 244,571 : x
  2. Step 2: Convert to fraction form
    163,721/244,571 = 244,571/x
  3. Step 3: Cross multiply
    163,721x = 244,571 × 244,571
  4. Step 4: Simplify right side
    163,721x = 59,814,974,041
  5. Step 5: Solve for x
    x = 59,814,974,041/163,721
  6. Step 6: Final answer
    x = 365,346.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.