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Finding the Third Proportional to 197,755 and 432,986

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Solution

The third proportional to 197,755 and 432,986 is: 948,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,755 : 432,986 = 432,986 : x
  2. Step 2: Convert to fraction form
    197,755/432,986 = 432,986/x
  3. Step 3: Cross multiply
    197,755x = 432,986 × 432,986
  4. Step 4: Simplify right side
    197,755x = 187,476,876,196
  5. Step 5: Solve for x
    x = 187,476,876,196/197,755
  6. Step 6: Final answer
    x = 948,025.97

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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.