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Finding the Third Proportional to 158,719.50 and 367,821

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Solution

The third proportional to 158,719.50 and 367,821 is: 852,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,719.50 : 367,821 = 367,821 : x
  2. Step 2: Convert to fraction form
    158,719.50/367,821 = 367,821/x
  3. Step 3: Cross multiply
    158,719.50x = 367,821 × 367,821
  4. Step 4: Simplify right side
    158,719.50x = 135,292,288,041
  5. Step 5: Solve for x
    x = 135,292,288,041/158,719.50
  6. Step 6: Final answer
    x = 852,398.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.