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Finding the Third Proportional to 183,882 and 281,174

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Solution

The third proportional to 183,882 and 281,174 is: 429,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,882 : 281,174 = 281,174 : x
  2. Step 2: Convert to fraction form
    183,882/281,174 = 281,174/x
  3. Step 3: Cross multiply
    183,882x = 281,174 × 281,174
  4. Step 4: Simplify right side
    183,882x = 79,058,818,276
  5. Step 5: Solve for x
    x = 79,058,818,276/183,882
  6. Step 6: Final answer
    x = 429,943.22

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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.