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Finding the Third Proportional to 111,890 and 244,516

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Solution

The third proportional to 111,890 and 244,516 is: 534,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,890 : 244,516 = 244,516 : x
  2. Step 2: Convert to fraction form
    111,890/244,516 = 244,516/x
  3. Step 3: Cross multiply
    111,890x = 244,516 × 244,516
  4. Step 4: Simplify right side
    111,890x = 59,788,074,256
  5. Step 5: Solve for x
    x = 59,788,074,256/111,890
  6. Step 6: Final answer
    x = 534,346.90

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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.