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Finding the Third Proportional to 197,856 and 297,468

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Solution

The third proportional to 197,856 and 297,468 is: 447,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856 : 297,468 = 297,468 : x
  2. Step 2: Convert to fraction form
    197,856/297,468 = 297,468/x
  3. Step 3: Cross multiply
    197,856x = 297,468 × 297,468
  4. Step 4: Simplify right side
    197,856x = 88,487,211,024
  5. Step 5: Solve for x
    x = 88,487,211,024/197,856
  6. Step 6: Final answer
    x = 447,230.36

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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.