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Finding the Third Proportional to 156,661 and 228,290

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Solution

The third proportional to 156,661 and 228,290 is: 332,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,661 : 228,290 = 228,290 : x
  2. Step 2: Convert to fraction form
    156,661/228,290 = 228,290/x
  3. Step 3: Cross multiply
    156,661x = 228,290 × 228,290
  4. Step 4: Simplify right side
    156,661x = 52,116,324,100
  5. Step 5: Solve for x
    x = 52,116,324,100/156,661
  6. Step 6: Final answer
    x = 332,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.