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Finding the Third Proportional to 174,951 and 262,380.94

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Solution

The third proportional to 174,951 and 262,380.94 is: 393,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951 : 262,380.94 = 262,380.94 : x
  2. Step 2: Convert to fraction form
    174,951/262,380.94 = 262,380.94/x
  3. Step 3: Cross multiply
    174,951x = 262,380.94 × 262,380.94
  4. Step 4: Simplify right side
    174,951x = 68,843,756,363.38
  5. Step 5: Solve for x
    x = 68,843,756,363.38/174,951
  6. Step 6: Final answer
    x = 393,503.07

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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.