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Finding the Third Proportional to 114,002 and 247,324

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Solution

The third proportional to 114,002 and 247,324 is: 536,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002 : 247,324 = 247,324 : x
  2. Step 2: Convert to fraction form
    114,002/247,324 = 247,324/x
  3. Step 3: Cross multiply
    114,002x = 247,324 × 247,324
  4. Step 4: Simplify right side
    114,002x = 61,169,160,976
  5. Step 5: Solve for x
    x = 61,169,160,976/114,002
  6. Step 6: Final answer
    x = 536,562.17

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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.