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Finding the Third Proportional to 183,703 and 281,008

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Solution

The third proportional to 183,703 and 281,008 is: 429,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,703 : 281,008 = 281,008 : x
  2. Step 2: Convert to fraction form
    183,703/281,008 = 281,008/x
  3. Step 3: Cross multiply
    183,703x = 281,008 × 281,008
  4. Step 4: Simplify right side
    183,703x = 78,965,496,064
  5. Step 5: Solve for x
    x = 78,965,496,064/183,703
  6. Step 6: Final answer
    x = 429,854.15

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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.