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Finding the Third Proportional to 115,981.50 and 244,410

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Solution

The third proportional to 115,981.50 and 244,410 is: 515,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,981.50 : 244,410 = 244,410 : x
  2. Step 2: Convert to fraction form
    115,981.50/244,410 = 244,410/x
  3. Step 3: Cross multiply
    115,981.50x = 244,410 × 244,410
  4. Step 4: Simplify right side
    115,981.50x = 59,736,248,100
  5. Step 5: Solve for x
    x = 59,736,248,100/115,981.50
  6. Step 6: Final answer
    x = 515,049.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.