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Finding the Third Proportional to 147,954 and 228,836

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Solution

The third proportional to 147,954 and 228,836 is: 353,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,954 : 228,836 = 228,836 : x
  2. Step 2: Convert to fraction form
    147,954/228,836 = 228,836/x
  3. Step 3: Cross multiply
    147,954x = 228,836 × 228,836
  4. Step 4: Simplify right side
    147,954x = 52,365,914,896
  5. Step 5: Solve for x
    x = 52,365,914,896/147,954
  6. Step 6: Final answer
    x = 353,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.