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Finding the Third Proportional to 115,947 and 244,350

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Solution

The third proportional to 115,947 and 244,350 is: 514,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,947 : 244,350 = 244,350 : x
  2. Step 2: Convert to fraction form
    115,947/244,350 = 244,350/x
  3. Step 3: Cross multiply
    115,947x = 244,350 × 244,350
  4. Step 4: Simplify right side
    115,947x = 59,706,922,500
  5. Step 5: Solve for x
    x = 59,706,922,500/115,947
  6. Step 6: Final answer
    x = 514,950.13

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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.