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Finding the Third Proportional to 199,201.50 and 431,592

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Solution

The third proportional to 199,201.50 and 431,592 is: 935,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,201.50 : 431,592 = 431,592 : x
  2. Step 2: Convert to fraction form
    199,201.50/431,592 = 431,592/x
  3. Step 3: Cross multiply
    199,201.50x = 431,592 × 431,592
  4. Step 4: Simplify right side
    199,201.50x = 186,271,654,464
  5. Step 5: Solve for x
    x = 186,271,654,464/199,201.50
  6. Step 6: Final answer
    x = 935,091.63

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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.