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Finding the Third Proportional to 153,832 and 333,908

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Solution

The third proportional to 153,832 and 333,908 is: 724,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,832 : 333,908 = 333,908 : x
  2. Step 2: Convert to fraction form
    153,832/333,908 = 333,908/x
  3. Step 3: Cross multiply
    153,832x = 333,908 × 333,908
  4. Step 4: Simplify right side
    153,832x = 111,494,552,464
  5. Step 5: Solve for x
    x = 111,494,552,464/153,832
  6. Step 6: Final answer
    x = 724,781.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.