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Finding the Third Proportional to 154,299 and 240,471

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Solution

The third proportional to 154,299 and 240,471 is: 374,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,299 : 240,471 = 240,471 : x
  2. Step 2: Convert to fraction form
    154,299/240,471 = 240,471/x
  3. Step 3: Cross multiply
    154,299x = 240,471 × 240,471
  4. Step 4: Simplify right side
    154,299x = 57,826,301,841
  5. Step 5: Solve for x
    x = 57,826,301,841/154,299
  6. Step 6: Final answer
    x = 374,767.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.