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Finding the Third Proportional to 36,588 and 80,304

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Solution

The third proportional to 36,588 and 80,304 is: 176,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588 : 80,304 = 80,304 : x
  2. Step 2: Convert to fraction form
    36,588/80,304 = 80,304/x
  3. Step 3: Cross multiply
    36,588x = 80,304 × 80,304
  4. Step 4: Simplify right side
    36,588x = 6,448,732,416
  5. Step 5: Solve for x
    x = 6,448,732,416/36,588
  6. Step 6: Final answer
    x = 176,252.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.