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Finding the Third Proportional to 115,927 and 244,308

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Solution

The third proportional to 115,927 and 244,308 is: 514,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,927 : 244,308 = 244,308 : x
  2. Step 2: Convert to fraction form
    115,927/244,308 = 244,308/x
  3. Step 3: Cross multiply
    115,927x = 244,308 × 244,308
  4. Step 4: Simplify right side
    115,927x = 59,686,398,864
  5. Step 5: Solve for x
    x = 59,686,398,864/115,927
  6. Step 6: Final answer
    x = 514,861.93

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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.