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Finding the Third Proportional to 150,061 and 228,902

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Solution

The third proportional to 150,061 and 228,902 is: 349,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,061 : 228,902 = 228,902 : x
  2. Step 2: Convert to fraction form
    150,061/228,902 = 228,902/x
  3. Step 3: Cross multiply
    150,061x = 228,902 × 228,902
  4. Step 4: Simplify right side
    150,061x = 52,396,125,604
  5. Step 5: Solve for x
    x = 52,396,125,604/150,061
  6. Step 6: Final answer
    x = 349,165.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.