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Finding the Third Proportional to 140,642.25 and 286,506.75

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Solution

The third proportional to 140,642.25 and 286,506.75 is: 583,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,642.25 : 286,506.75 = 286,506.75 : x
  2. Step 2: Convert to fraction form
    140,642.25/286,506.75 = 286,506.75/x
  3. Step 3: Cross multiply
    140,642.25x = 286,506.75 × 286,506.75
  4. Step 4: Simplify right side
    140,642.25x = 82,086,117,795.56
  5. Step 5: Solve for x
    x = 82,086,117,795.56/140,642.25
  6. Step 6: Final answer
    x = 583,651.91

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.