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Finding the Third Proportional to 213,198.75 and 463,981.50

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Solution

The third proportional to 213,198.75 and 463,981.50 is: 1,009,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198.75 : 463,981.50 = 463,981.50 : x
  2. Step 2: Convert to fraction form
    213,198.75/463,981.50 = 463,981.50/x
  3. Step 3: Cross multiply
    213,198.75x = 463,981.50 × 463,981.50
  4. Step 4: Simplify right side
    213,198.75x = 215,278,832,342.25
  5. Step 5: Solve for x
    x = 215,278,832,342.25/213,198.75
  6. Step 6: Final answer
    x = 1,009,756.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.