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Finding the Third Proportional to 197,086 and 432,324

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Solution

The third proportional to 197,086 and 432,324 is: 948,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,086 : 432,324 = 432,324 : x
  2. Step 2: Convert to fraction form
    197,086/432,324 = 432,324/x
  3. Step 3: Cross multiply
    197,086x = 432,324 × 432,324
  4. Step 4: Simplify right side
    197,086x = 186,904,040,976
  5. Step 5: Solve for x
    x = 186,904,040,976/197,086
  6. Step 6: Final answer
    x = 948,337.48

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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.