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Finding the Third Proportional to 199,260 and 431,716

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Solution

The third proportional to 199,260 and 431,716 is: 935,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,260 : 431,716 = 431,716 : x
  2. Step 2: Convert to fraction form
    199,260/431,716 = 431,716/x
  3. Step 3: Cross multiply
    199,260x = 431,716 × 431,716
  4. Step 4: Simplify right side
    199,260x = 186,378,704,656
  5. Step 5: Solve for x
    x = 186,378,704,656/199,260
  6. Step 6: Final answer
    x = 935,354.33

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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.