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Finding the Third Proportional to 203,328 and 304,992

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Solution

The third proportional to 203,328 and 304,992 is: 457,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,328 : 304,992 = 304,992 : x
  2. Step 2: Convert to fraction form
    203,328/304,992 = 304,992/x
  3. Step 3: Cross multiply
    203,328x = 304,992 × 304,992
  4. Step 4: Simplify right side
    203,328x = 93,020,120,064
  5. Step 5: Solve for x
    x = 93,020,120,064/203,328
  6. Step 6: Final answer
    x = 457,488

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.