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Finding the Third Proportional to 183,720 and 281,048

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Solution

The third proportional to 183,720 and 281,048 is: 429,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,720 : 281,048 = 281,048 : x
  2. Step 2: Convert to fraction form
    183,720/281,048 = 281,048/x
  3. Step 3: Cross multiply
    183,720x = 281,048 × 281,048
  4. Step 4: Simplify right side
    183,720x = 78,987,978,304
  5. Step 5: Solve for x
    x = 78,987,978,304/183,720
  6. Step 6: Final answer
    x = 429,936.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.