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Finding the Third Proportional to 211,373.25 and 443,517

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Solution

The third proportional to 211,373.25 and 443,517 is: 930,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,373.25 : 443,517 = 443,517 : x
  2. Step 2: Convert to fraction form
    211,373.25/443,517 = 443,517/x
  3. Step 3: Cross multiply
    211,373.25x = 443,517 × 443,517
  4. Step 4: Simplify right side
    211,373.25x = 196,707,329,289
  5. Step 5: Solve for x
    x = 196,707,329,289/211,373.25
  6. Step 6: Final answer
    x = 930,616.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.