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Finding the Third Proportional to 1,116.42 and 1,318.92

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Solution

The third proportional to 1,116.42 and 1,318.92 is: 1,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.42 : 1,318.92 = 1,318.92 : x
  2. Step 2: Convert to fraction form
    1,116.42/1,318.92 = 1,318.92/x
  3. Step 3: Cross multiply
    1,116.42x = 1,318.92 × 1,318.92
  4. Step 4: Simplify right side
    1,116.42x = 1,739,554.91
  5. Step 5: Solve for x
    x = 1,739,554.91/1,116.42
  6. Step 6: Final answer
    x = 1,558.15

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.