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Finding the Third Proportional to 197,320 and 427,850

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Solution

The third proportional to 197,320 and 427,850 is: 927,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,320 : 427,850 = 427,850 : x
  2. Step 2: Convert to fraction form
    197,320/427,850 = 427,850/x
  3. Step 3: Cross multiply
    197,320x = 427,850 × 427,850
  4. Step 4: Simplify right side
    197,320x = 183,055,622,500
  5. Step 5: Solve for x
    x = 183,055,622,500/197,320
  6. Step 6: Final answer
    x = 927,709.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.