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Finding the Third Proportional to 240,774 and 322,116

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Solution

The third proportional to 240,774 and 322,116 is: 430,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,774 : 322,116 = 322,116 : x
  2. Step 2: Convert to fraction form
    240,774/322,116 = 322,116/x
  3. Step 3: Cross multiply
    240,774x = 322,116 × 322,116
  4. Step 4: Simplify right side
    240,774x = 103,758,717,456
  5. Step 5: Solve for x
    x = 103,758,717,456/240,774
  6. Step 6: Final answer
    x = 430,938.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.