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Finding the Third Proportional to 174,955 and 262,387

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Solution

The third proportional to 174,955 and 262,387 is: 393,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,955 : 262,387 = 262,387 : x
  2. Step 2: Convert to fraction form
    174,955/262,387 = 262,387/x
  3. Step 3: Cross multiply
    174,955x = 262,387 × 262,387
  4. Step 4: Simplify right side
    174,955x = 68,846,937,769
  5. Step 5: Solve for x
    x = 68,846,937,769/174,955
  6. Step 6: Final answer
    x = 393,512.26

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