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Finding the Third Proportional to 151,061 and 352,812

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Solution

The third proportional to 151,061 and 352,812 is: 824,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,061 : 352,812 = 352,812 : x
  2. Step 2: Convert to fraction form
    151,061/352,812 = 352,812/x
  3. Step 3: Cross multiply
    151,061x = 352,812 × 352,812
  4. Step 4: Simplify right side
    151,061x = 124,476,307,344
  5. Step 5: Solve for x
    x = 124,476,307,344/151,061
  6. Step 6: Final answer
    x = 824,013.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.