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Finding the Third Proportional to 225,282 and 304,093

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Solution

The third proportional to 225,282 and 304,093 is: 410,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,282 : 304,093 = 304,093 : x
  2. Step 2: Convert to fraction form
    225,282/304,093 = 304,093/x
  3. Step 3: Cross multiply
    225,282x = 304,093 × 304,093
  4. Step 4: Simplify right side
    225,282x = 92,472,552,649
  5. Step 5: Solve for x
    x = 92,472,552,649/225,282
  6. Step 6: Final answer
    x = 410,474.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.