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Finding the Third Proportional to 211,984.50 and 457,204

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Solution

The third proportional to 211,984.50 and 457,204 is: 986,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,984.50 : 457,204 = 457,204 : x
  2. Step 2: Convert to fraction form
    211,984.50/457,204 = 457,204/x
  3. Step 3: Cross multiply
    211,984.50x = 457,204 × 457,204
  4. Step 4: Simplify right side
    211,984.50x = 209,035,497,616
  5. Step 5: Solve for x
    x = 209,035,497,616/211,984.50
  6. Step 6: Final answer
    x = 986,088.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.