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Finding the Third Proportional to 146,715 and 228,839

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Solution

The third proportional to 146,715 and 228,839 is: 356,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,715 : 228,839 = 228,839 : x
  2. Step 2: Convert to fraction form
    146,715/228,839 = 228,839/x
  3. Step 3: Cross multiply
    146,715x = 228,839 × 228,839
  4. Step 4: Simplify right side
    146,715x = 52,367,287,921
  5. Step 5: Solve for x
    x = 52,367,287,921/146,715
  6. Step 6: Final answer
    x = 356,932.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.