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Finding the Third Proportional to 250,605 and 362,081.25

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Solution

The third proportional to 250,605 and 362,081.25 is: 523,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,605 : 362,081.25 = 362,081.25 : x
  2. Step 2: Convert to fraction form
    250,605/362,081.25 = 362,081.25/x
  3. Step 3: Cross multiply
    250,605x = 362,081.25 × 362,081.25
  4. Step 4: Simplify right side
    250,605x = 131,102,831,601.56
  5. Step 5: Solve for x
    x = 131,102,831,601.56/250,605
  6. Step 6: Final answer
    x = 523,145.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.