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Finding the Third Proportional to 220,052 and 326,082

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Solution

The third proportional to 220,052 and 326,082 is: 483,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,052 : 326,082 = 326,082 : x
  2. Step 2: Convert to fraction form
    220,052/326,082 = 326,082/x
  3. Step 3: Cross multiply
    220,052x = 326,082 × 326,082
  4. Step 4: Simplify right side
    220,052x = 106,329,470,724
  5. Step 5: Solve for x
    x = 106,329,470,724/220,052
  6. Step 6: Final answer
    x = 483,201.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.