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Finding the Third Proportional to 135,440.86 and 201,211.59

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Solution

The third proportional to 135,440.86 and 201,211.59 is: 298,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,440.86 : 201,211.59 = 201,211.59 : x
  2. Step 2: Convert to fraction form
    135,440.86/201,211.59 = 201,211.59/x
  3. Step 3: Cross multiply
    135,440.86x = 201,211.59 × 201,211.59
  4. Step 4: Simplify right side
    135,440.86x = 40,486,105,459.42
  5. Step 5: Solve for x
    x = 40,486,105,459.42/135,440.86
  6. Step 6: Final answer
    x = 298,920.91

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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.