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Finding the Third Proportional to 115,927 and 244,309

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Solution

The third proportional to 115,927 and 244,309 is: 514,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,927 : 244,309 = 244,309 : x
  2. Step 2: Convert to fraction form
    115,927/244,309 = 244,309/x
  3. Step 3: Cross multiply
    115,927x = 244,309 × 244,309
  4. Step 4: Simplify right side
    115,927x = 59,686,887,481
  5. Step 5: Solve for x
    x = 59,686,887,481/115,927
  6. Step 6: Final answer
    x = 514,866.14

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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.