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Finding the Third Proportional to 203,042 and 298,677

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Solution

The third proportional to 203,042 and 298,677 is: 439,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,042 : 298,677 = 298,677 : x
  2. Step 2: Convert to fraction form
    203,042/298,677 = 298,677/x
  3. Step 3: Cross multiply
    203,042x = 298,677 × 298,677
  4. Step 4: Simplify right side
    203,042x = 89,207,950,329
  5. Step 5: Solve for x
    x = 89,207,950,329/203,042
  6. Step 6: Final answer
    x = 439,357.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.