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Finding the Third Proportional to 140,636.25 and 286,494.75

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Solution

The third proportional to 140,636.25 and 286,494.75 is: 583,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,636.25 : 286,494.75 = 286,494.75 : x
  2. Step 2: Convert to fraction form
    140,636.25/286,494.75 = 286,494.75/x
  3. Step 3: Cross multiply
    140,636.25x = 286,494.75 × 286,494.75
  4. Step 4: Simplify right side
    140,636.25x = 82,079,241,777.56
  5. Step 5: Solve for x
    x = 82,079,241,777.56/140,636.25
  6. Step 6: Final answer
    x = 583,627.92

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Why These Related Problems?

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