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Finding the Third Proportional to 141,902 and 305,330

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Solution

The third proportional to 141,902 and 305,330 is: 656,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,902 : 305,330 = 305,330 : x
  2. Step 2: Convert to fraction form
    141,902/305,330 = 305,330/x
  3. Step 3: Cross multiply
    141,902x = 305,330 × 305,330
  4. Step 4: Simplify right side
    141,902x = 93,226,408,900
  5. Step 5: Solve for x
    x = 93,226,408,900/141,902
  6. Step 6: Final answer
    x = 656,977.41

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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.