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Finding the Third Proportional to 221,559.75 and 534,165.75

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Solution

The third proportional to 221,559.75 and 534,165.75 is: 1,287,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,559.75 : 534,165.75 = 534,165.75 : x
  2. Step 2: Convert to fraction form
    221,559.75/534,165.75 = 534,165.75/x
  3. Step 3: Cross multiply
    221,559.75x = 534,165.75 × 534,165.75
  4. Step 4: Simplify right side
    221,559.75x = 285,333,048,473.06
  5. Step 5: Solve for x
    x = 285,333,048,473.06/221,559.75
  6. Step 6: Final answer
    x = 1,287,837.92

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.