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Finding the Third Proportional to 183,914 and 281,217

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Solution

The third proportional to 183,914 and 281,217 is: 429,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,914 : 281,217 = 281,217 : x
  2. Step 2: Convert to fraction form
    183,914/281,217 = 281,217/x
  3. Step 3: Cross multiply
    183,914x = 281,217 × 281,217
  4. Step 4: Simplify right side
    183,914x = 79,083,001,089
  5. Step 5: Solve for x
    x = 79,083,001,089/183,914
  6. Step 6: Final answer
    x = 429,999.90

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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.