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Finding the Third Proportional to 251,601.75 and 380,674.13

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Solution

The third proportional to 251,601.75 and 380,674.13 is: 575,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,601.75 : 380,674.13 = 380,674.13 : x
  2. Step 2: Convert to fraction form
    251,601.75/380,674.13 = 380,674.13/x
  3. Step 3: Cross multiply
    251,601.75x = 380,674.13 × 380,674.13
  4. Step 4: Simplify right side
    251,601.75x = 144,912,789,444.52
  5. Step 5: Solve for x
    x = 144,912,789,444.52/251,601.75
  6. Step 6: Final answer
    x = 575,960.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.