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Finding the Third Proportional to 197,212 and 295,476

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Solution

The third proportional to 197,212 and 295,476 is: 442,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,212 : 295,476 = 295,476 : x
  2. Step 2: Convert to fraction form
    197,212/295,476 = 295,476/x
  3. Step 3: Cross multiply
    197,212x = 295,476 × 295,476
  4. Step 4: Simplify right side
    197,212x = 87,306,066,576
  5. Step 5: Solve for x
    x = 87,306,066,576/197,212
  6. Step 6: Final answer
    x = 442,701.59

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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.