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Finding the Third Proportional to 87,421 and 182,222

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Solution

The third proportional to 87,421 and 182,222 is: 379,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,421 : 182,222 = 182,222 : x
  2. Step 2: Convert to fraction form
    87,421/182,222 = 182,222/x
  3. Step 3: Cross multiply
    87,421x = 182,222 × 182,222
  4. Step 4: Simplify right side
    87,421x = 33,204,857,284
  5. Step 5: Solve for x
    x = 33,204,857,284/87,421
  6. Step 6: Final answer
    x = 379,827.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.