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Finding the Third Proportional to 153,872 and 232,868

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Solution

The third proportional to 153,872 and 232,868 is: 352,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872 : 232,868 = 232,868 : x
  2. Step 2: Convert to fraction form
    153,872/232,868 = 232,868/x
  3. Step 3: Cross multiply
    153,872x = 232,868 × 232,868
  4. Step 4: Simplify right side
    153,872x = 54,227,505,424
  5. Step 5: Solve for x
    x = 54,227,505,424/153,872
  6. Step 6: Final answer
    x = 352,419.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.