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Finding the Third Proportional to 154,965 and 333,561

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Solution

The third proportional to 154,965 and 333,561 is: 717,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,965 : 333,561 = 333,561 : x
  2. Step 2: Convert to fraction form
    154,965/333,561 = 333,561/x
  3. Step 3: Cross multiply
    154,965x = 333,561 × 333,561
  4. Step 4: Simplify right side
    154,965x = 111,262,940,721
  5. Step 5: Solve for x
    x = 111,262,940,721/154,965
  6. Step 6: Final answer
    x = 717,987.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.