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Finding the Third Proportional to 146,656 and 228,748

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Solution

The third proportional to 146,656 and 228,748 is: 356,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,656 : 228,748 = 228,748 : x
  2. Step 2: Convert to fraction form
    146,656/228,748 = 228,748/x
  3. Step 3: Cross multiply
    146,656x = 228,748 × 228,748
  4. Step 4: Simplify right side
    146,656x = 52,325,647,504
  5. Step 5: Solve for x
    x = 52,325,647,504/146,656
  6. Step 6: Final answer
    x = 356,791.73

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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.