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Finding the Third Proportional to 151,841 and 351,520

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Solution

The third proportional to 151,841 and 351,520 is: 813,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,841 : 351,520 = 351,520 : x
  2. Step 2: Convert to fraction form
    151,841/351,520 = 351,520/x
  3. Step 3: Cross multiply
    151,841x = 351,520 × 351,520
  4. Step 4: Simplify right side
    151,841x = 123,566,310,400
  5. Step 5: Solve for x
    x = 123,566,310,400/151,841
  6. Step 6: Final answer
    x = 813,787.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.