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Finding the Third Proportional to 240.84 and 505.69

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Solution

The third proportional to 240.84 and 505.69 is: 1,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 505.69 = 505.69 : x
  2. Step 2: Convert to fraction form
    240.84/505.69 = 505.69/x
  3. Step 3: Cross multiply
    240.84x = 505.69 × 505.69
  4. Step 4: Simplify right side
    240.84x = 255,719.85
  5. Step 5: Solve for x
    x = 255,719.85/240.84
  6. Step 6: Final answer
    x = 1,061.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.