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Finding the Third Proportional to 214,831 and 322,097.50

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Solution

The third proportional to 214,831 and 322,097.50 is: 482,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,831 : 322,097.50 = 322,097.50 : x
  2. Step 2: Convert to fraction form
    214,831/322,097.50 = 322,097.50/x
  3. Step 3: Cross multiply
    214,831x = 322,097.50 × 322,097.50
  4. Step 4: Simplify right side
    214,831x = 103,746,799,506.25
  5. Step 5: Solve for x
    x = 103,746,799,506.25/214,831
  6. Step 6: Final answer
    x = 482,922.85

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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.