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Finding the Third Proportional to 115,887 and 244,230

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Solution

The third proportional to 115,887 and 244,230 is: 514,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,887 : 244,230 = 244,230 : x
  2. Step 2: Convert to fraction form
    115,887/244,230 = 244,230/x
  3. Step 3: Cross multiply
    115,887x = 244,230 × 244,230
  4. Step 4: Simplify right side
    115,887x = 59,648,292,900
  5. Step 5: Solve for x
    x = 59,648,292,900/115,887
  6. Step 6: Final answer
    x = 514,710.82

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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.