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Finding the Third Proportional to 113,864 and 244,576

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Solution

The third proportional to 113,864 and 244,576 is: 525,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,864 : 244,576 = 244,576 : x
  2. Step 2: Convert to fraction form
    113,864/244,576 = 244,576/x
  3. Step 3: Cross multiply
    113,864x = 244,576 × 244,576
  4. Step 4: Simplify right side
    113,864x = 59,817,419,776
  5. Step 5: Solve for x
    x = 59,817,419,776/113,864
  6. Step 6: Final answer
    x = 525,340.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.