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Finding the Third Proportional to 201,987 and 299,076.75

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Solution

The third proportional to 201,987 and 299,076.75 is: 442,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,987 : 299,076.75 = 299,076.75 : x
  2. Step 2: Convert to fraction form
    201,987/299,076.75 = 299,076.75/x
  3. Step 3: Cross multiply
    201,987x = 299,076.75 × 299,076.75
  4. Step 4: Simplify right side
    201,987x = 89,446,902,390.56
  5. Step 5: Solve for x
    x = 89,446,902,390.56/201,987
  6. Step 6: Final answer
    x = 442,834.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.