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Finding the Third Proportional to 150,325.88 and 239,719.50

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Solution

The third proportional to 150,325.88 and 239,719.50 is: 382,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,325.88 : 239,719.50 = 239,719.50 : x
  2. Step 2: Convert to fraction form
    150,325.88/239,719.50 = 239,719.50/x
  3. Step 3: Cross multiply
    150,325.88x = 239,719.50 × 239,719.50
  4. Step 4: Simplify right side
    150,325.88x = 57,465,438,680.25
  5. Step 5: Solve for x
    x = 57,465,438,680.25/150,325.88
  6. Step 6: Final answer
    x = 382,272.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.