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Finding the Third Proportional to 197,212.50 and 295,479

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Solution

The third proportional to 197,212.50 and 295,479 is: 442,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,212.50 : 295,479 = 295,479 : x
  2. Step 2: Convert to fraction form
    197,212.50/295,479 = 295,479/x
  3. Step 3: Cross multiply
    197,212.50x = 295,479 × 295,479
  4. Step 4: Simplify right side
    197,212.50x = 87,307,839,441
  5. Step 5: Solve for x
    x = 87,307,839,441/197,212.50
  6. Step 6: Final answer
    x = 442,709.46

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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.