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Finding the Third Proportional to 111,810 and 244,356

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Solution

The third proportional to 111,810 and 244,356 is: 534,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,810 : 244,356 = 244,356 : x
  2. Step 2: Convert to fraction form
    111,810/244,356 = 244,356/x
  3. Step 3: Cross multiply
    111,810x = 244,356 × 244,356
  4. Step 4: Simplify right side
    111,810x = 59,709,854,736
  5. Step 5: Solve for x
    x = 59,709,854,736/111,810
  6. Step 6: Final answer
    x = 534,029.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.