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Finding the Third Proportional to 199,567.13 and 443,421

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Solution

The third proportional to 199,567.13 and 443,421 is: 985,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567.13 : 443,421 = 443,421 : x
  2. Step 2: Convert to fraction form
    199,567.13/443,421 = 443,421/x
  3. Step 3: Cross multiply
    199,567.13x = 443,421 × 443,421
  4. Step 4: Simplify right side
    199,567.13x = 196,622,183,241
  5. Step 5: Solve for x
    x = 196,622,183,241/199,567.13
  6. Step 6: Final answer
    x = 985,243.35

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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.