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Finding the Third Proportional to 146,676 and 228,780

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Solution

The third proportional to 146,676 and 228,780 is: 356,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,676 : 228,780 = 228,780 : x
  2. Step 2: Convert to fraction form
    146,676/228,780 = 228,780/x
  3. Step 3: Cross multiply
    146,676x = 228,780 × 228,780
  4. Step 4: Simplify right side
    146,676x = 52,340,288,400
  5. Step 5: Solve for x
    x = 52,340,288,400/146,676
  6. Step 6: Final answer
    x = 356,842.89

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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.