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Finding the Third Proportional to 141,147 and 302,761

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Solution

The third proportional to 141,147 and 302,761 is: 649,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,147 : 302,761 = 302,761 : x
  2. Step 2: Convert to fraction form
    141,147/302,761 = 302,761/x
  3. Step 3: Cross multiply
    141,147x = 302,761 × 302,761
  4. Step 4: Simplify right side
    141,147x = 91,664,223,121
  5. Step 5: Solve for x
    x = 91,664,223,121/141,147
  6. Step 6: Final answer
    x = 649,423.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.