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Finding the Third Proportional to 146,651 and 228,740

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Solution

The third proportional to 146,651 and 228,740 is: 356,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,651 : 228,740 = 228,740 : x
  2. Step 2: Convert to fraction form
    146,651/228,740 = 228,740/x
  3. Step 3: Cross multiply
    146,651x = 228,740 × 228,740
  4. Step 4: Simplify right side
    146,651x = 52,321,987,600
  5. Step 5: Solve for x
    x = 52,321,987,600/146,651
  6. Step 6: Final answer
    x = 356,778.94

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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.