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Finding the Third Proportional to 146,660 and 228,754

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Solution

The third proportional to 146,660 and 228,754 is: 356,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,660 : 228,754 = 228,754 : x
  2. Step 2: Convert to fraction form
    146,660/228,754 = 228,754/x
  3. Step 3: Cross multiply
    146,660x = 228,754 × 228,754
  4. Step 4: Simplify right side
    146,660x = 52,328,392,516
  5. Step 5: Solve for x
    x = 52,328,392,516/146,660
  6. Step 6: Final answer
    x = 356,800.71

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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.