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Finding the Third Proportional to 182,896 and 269,424

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Solution

The third proportional to 182,896 and 269,424 is: 396,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,896 : 269,424 = 269,424 : x
  2. Step 2: Convert to fraction form
    182,896/269,424 = 269,424/x
  3. Step 3: Cross multiply
    182,896x = 269,424 × 269,424
  4. Step 4: Simplify right side
    182,896x = 72,589,291,776
  5. Step 5: Solve for x
    x = 72,589,291,776/182,896
  6. Step 6: Final answer
    x = 396,888.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.