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Finding the Third Proportional to 114,163 and 247,598

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Solution

The third proportional to 114,163 and 247,598 is: 536,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,163 : 247,598 = 247,598 : x
  2. Step 2: Convert to fraction form
    114,163/247,598 = 247,598/x
  3. Step 3: Cross multiply
    114,163x = 247,598 × 247,598
  4. Step 4: Simplify right side
    114,163x = 61,304,769,604
  5. Step 5: Solve for x
    x = 61,304,769,604/114,163
  6. Step 6: Final answer
    x = 536,993.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.