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Finding the Third Proportional to 183,721.50 and 281,046.38

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Solution

The third proportional to 183,721.50 and 281,046.38 is: 429,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,721.50 : 281,046.38 = 281,046.38 : x
  2. Step 2: Convert to fraction form
    183,721.50/281,046.38 = 281,046.38/x
  3. Step 3: Cross multiply
    183,721.50x = 281,046.38 × 281,046.38
  4. Step 4: Simplify right side
    183,721.50x = 78,987,064,900.64
  5. Step 5: Solve for x
    x = 78,987,064,900.64/183,721.50
  6. Step 6: Final answer
    x = 429,928.26

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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.