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Finding the Third Proportional to 174,990 and 382,056

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Solution

The third proportional to 174,990 and 382,056 is: 834,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,990 : 382,056 = 382,056 : x
  2. Step 2: Convert to fraction form
    174,990/382,056 = 382,056/x
  3. Step 3: Cross multiply
    174,990x = 382,056 × 382,056
  4. Step 4: Simplify right side
    174,990x = 145,966,787,136
  5. Step 5: Solve for x
    x = 145,966,787,136/174,990
  6. Step 6: Final answer
    x = 834,143.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.