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Finding the Third Proportional to 154,082.25 and 320,260.50

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Solution

The third proportional to 154,082.25 and 320,260.50 is: 665,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,082.25 : 320,260.50 = 320,260.50 : x
  2. Step 2: Convert to fraction form
    154,082.25/320,260.50 = 320,260.50/x
  3. Step 3: Cross multiply
    154,082.25x = 320,260.50 × 320,260.50
  4. Step 4: Simplify right side
    154,082.25x = 102,566,787,860.25
  5. Step 5: Solve for x
    x = 102,566,787,860.25/154,082.25
  6. Step 6: Final answer
    x = 665,662.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.