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Finding the Third Proportional to 199,535.50 and 443,357

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Solution

The third proportional to 199,535.50 and 443,357 is: 985,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,535.50 : 443,357 = 443,357 : x
  2. Step 2: Convert to fraction form
    199,535.50/443,357 = 443,357/x
  3. Step 3: Cross multiply
    199,535.50x = 443,357 × 443,357
  4. Step 4: Simplify right side
    199,535.50x = 196,565,429,449
  5. Step 5: Solve for x
    x = 196,565,429,449/199,535.50
  6. Step 6: Final answer
    x = 985,115.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.