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Finding the Third Proportional to 199,656 and 433,818

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Solution

The third proportional to 199,656 and 433,818 is: 942,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,656 : 433,818 = 433,818 : x
  2. Step 2: Convert to fraction form
    199,656/433,818 = 433,818/x
  3. Step 3: Cross multiply
    199,656x = 433,818 × 433,818
  4. Step 4: Simplify right side
    199,656x = 188,198,057,124
  5. Step 5: Solve for x
    x = 188,198,057,124/199,656
  6. Step 6: Final answer
    x = 942,611.58

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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.