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Finding the Third Proportional to 146,876 and 219,756.50

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Solution

The third proportional to 146,876 and 219,756.50 is: 328,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,876 : 219,756.50 = 219,756.50 : x
  2. Step 2: Convert to fraction form
    146,876/219,756.50 = 219,756.50/x
  3. Step 3: Cross multiply
    146,876x = 219,756.50 × 219,756.50
  4. Step 4: Simplify right side
    146,876x = 48,292,919,292.25
  5. Step 5: Solve for x
    x = 48,292,919,292.25/146,876
  6. Step 6: Final answer
    x = 328,800.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.