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Finding the Third Proportional to 115,890 and 244,233

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Solution

The third proportional to 115,890 and 244,233 is: 514,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,890 : 244,233 = 244,233 : x
  2. Step 2: Convert to fraction form
    115,890/244,233 = 244,233/x
  3. Step 3: Cross multiply
    115,890x = 244,233 × 244,233
  4. Step 4: Simplify right side
    115,890x = 59,649,758,289
  5. Step 5: Solve for x
    x = 59,649,758,289/115,890
  6. Step 6: Final answer
    x = 514,710.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.