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Finding the Third Proportional to 219,082.50 and 352,719.75

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Solution

The third proportional to 219,082.50 and 352,719.75 is: 567,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,082.50 : 352,719.75 = 352,719.75 : x
  2. Step 2: Convert to fraction form
    219,082.50/352,719.75 = 352,719.75/x
  3. Step 3: Cross multiply
    219,082.50x = 352,719.75 × 352,719.75
  4. Step 4: Simplify right side
    219,082.50x = 124,411,222,040.06
  5. Step 5: Solve for x
    x = 124,411,222,040.06/219,082.50
  6. Step 6: Final answer
    x = 567,873.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.