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Finding the Third Proportional to 154,798.59 and 239,245.84

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Solution

The third proportional to 154,798.59 and 239,245.84 is: 369,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,798.59 : 239,245.84 = 239,245.84 : x
  2. Step 2: Convert to fraction form
    154,798.59/239,245.84 = 239,245.84/x
  3. Step 3: Cross multiply
    154,798.59x = 239,245.84 × 239,245.84
  4. Step 4: Simplify right side
    154,798.59x = 57,238,571,882.54
  5. Step 5: Solve for x
    x = 57,238,571,882.54/154,798.59
  6. Step 6: Final answer
    x = 369,761.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.