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Finding the Third Proportional to 207,968 and 330,584

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Solution

The third proportional to 207,968 and 330,584 is: 525,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968 : 330,584 = 330,584 : x
  2. Step 2: Convert to fraction form
    207,968/330,584 = 330,584/x
  3. Step 3: Cross multiply
    207,968x = 330,584 × 330,584
  4. Step 4: Simplify right side
    207,968x = 109,285,781,056
  5. Step 5: Solve for x
    x = 109,285,781,056/207,968
  6. Step 6: Final answer
    x = 525,493.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.