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Finding the Third Proportional to 183,716 and 281,042

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Solution

The third proportional to 183,716 and 281,042 is: 429,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,716 : 281,042 = 281,042 : x
  2. Step 2: Convert to fraction form
    183,716/281,042 = 281,042/x
  3. Step 3: Cross multiply
    183,716x = 281,042 × 281,042
  4. Step 4: Simplify right side
    183,716x = 78,984,605,764
  5. Step 5: Solve for x
    x = 78,984,605,764/183,716
  6. Step 6: Final answer
    x = 429,927.75

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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.