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Finding the Third Proportional to 197,229 and 432,002

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Solution

The third proportional to 197,229 and 432,002 is: 946,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,229 : 432,002 = 432,002 : x
  2. Step 2: Convert to fraction form
    197,229/432,002 = 432,002/x
  3. Step 3: Cross multiply
    197,229x = 432,002 × 432,002
  4. Step 4: Simplify right side
    197,229x = 186,625,728,004
  5. Step 5: Solve for x
    x = 186,625,728,004/197,229
  6. Step 6: Final answer
    x = 946,238.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.