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Finding the Third Proportional to 239,482.20 and 360,222.82

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Solution

The third proportional to 239,482.20 and 360,222.82 is: 541,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,482.20 : 360,222.82 = 360,222.82 : x
  2. Step 2: Convert to fraction form
    239,482.20/360,222.82 = 360,222.82/x
  3. Step 3: Cross multiply
    239,482.20x = 360,222.82 × 360,222.82
  4. Step 4: Simplify right side
    239,482.20x = 129,760,480,273.89
  5. Step 5: Solve for x
    x = 129,760,480,273.89/239,482.20
  6. Step 6: Final answer
    x = 541,837.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.