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Finding the Third Proportional to 135,491.48 and 201,272.34

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Solution

The third proportional to 135,491.48 and 201,272.34 is: 298,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,491.48 : 201,272.34 = 201,272.34 : x
  2. Step 2: Convert to fraction form
    135,491.48/201,272.34 = 201,272.34/x
  3. Step 3: Cross multiply
    135,491.48x = 201,272.34 × 201,272.34
  4. Step 4: Simplify right side
    135,491.48x = 40,510,556,358.62
  5. Step 5: Solve for x
    x = 40,510,556,358.62/135,491.48
  6. Step 6: Final answer
    x = 298,989.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.