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Finding the Third Proportional to 199,198 and 431,585

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Solution

The third proportional to 199,198 and 431,585 is: 935,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,198 : 431,585 = 431,585 : x
  2. Step 2: Convert to fraction form
    199,198/431,585 = 431,585/x
  3. Step 3: Cross multiply
    199,198x = 431,585 × 431,585
  4. Step 4: Simplify right side
    199,198x = 186,265,612,225
  5. Step 5: Solve for x
    x = 186,265,612,225/199,198
  6. Step 6: Final answer
    x = 935,077.72

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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.