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Finding the Third Proportional to 131,184 and 285,723

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Solution

The third proportional to 131,184 and 285,723 is: 622,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 285,723 = 285,723 : x
  2. Step 2: Convert to fraction form
    131,184/285,723 = 285,723/x
  3. Step 3: Cross multiply
    131,184x = 285,723 × 285,723
  4. Step 4: Simplify right side
    131,184x = 81,637,632,729
  5. Step 5: Solve for x
    x = 81,637,632,729/131,184
  6. Step 6: Final answer
    x = 622,313.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.