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Finding the Third Proportional to 174,754.50 and 381,261

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Solution

The third proportional to 174,754.50 and 381,261 is: 831,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,754.50 : 381,261 = 381,261 : x
  2. Step 2: Convert to fraction form
    174,754.50/381,261 = 381,261/x
  3. Step 3: Cross multiply
    174,754.50x = 381,261 × 381,261
  4. Step 4: Simplify right side
    174,754.50x = 145,359,950,121
  5. Step 5: Solve for x
    x = 145,359,950,121/174,754.50
  6. Step 6: Final answer
    x = 831,795.18

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Why These Related Problems?

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