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Finding the Third Proportional to 199,613 and 431,211

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Solution

The third proportional to 199,613 and 431,211 is: 931,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,613 : 431,211 = 431,211 : x
  2. Step 2: Convert to fraction form
    199,613/431,211 = 431,211/x
  3. Step 3: Cross multiply
    199,613x = 431,211 × 431,211
  4. Step 4: Simplify right side
    199,613x = 185,942,926,521
  5. Step 5: Solve for x
    x = 185,942,926,521/199,613
  6. Step 6: Final answer
    x = 931,517.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.