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Finding the Third Proportional to 199,548 and 443,385

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Solution

The third proportional to 199,548 and 443,385 is: 985,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,548 : 443,385 = 443,385 : x
  2. Step 2: Convert to fraction form
    199,548/443,385 = 443,385/x
  3. Step 3: Cross multiply
    199,548x = 443,385 × 443,385
  4. Step 4: Simplify right side
    199,548x = 196,590,258,225
  5. Step 5: Solve for x
    x = 196,590,258,225/199,548
  6. Step 6: Final answer
    x = 985,177.79

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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.