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Finding the Third Proportional to 114,524 and 244,264

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Solution

The third proportional to 114,524 and 244,264 is: 520,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,524 : 244,264 = 244,264 : x
  2. Step 2: Convert to fraction form
    114,524/244,264 = 244,264/x
  3. Step 3: Cross multiply
    114,524x = 244,264 × 244,264
  4. Step 4: Simplify right side
    114,524x = 59,664,901,696
  5. Step 5: Solve for x
    x = 59,664,901,696/114,524
  6. Step 6: Final answer
    x = 520,981.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.