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Finding the Third Proportional to 187,431.75 and 408,141

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Solution

The third proportional to 187,431.75 and 408,141 is: 888,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,431.75 : 408,141 = 408,141 : x
  2. Step 2: Convert to fraction form
    187,431.75/408,141 = 408,141/x
  3. Step 3: Cross multiply
    187,431.75x = 408,141 × 408,141
  4. Step 4: Simplify right side
    187,431.75x = 166,579,075,881
  5. Step 5: Solve for x
    x = 166,579,075,881/187,431.75
  6. Step 6: Final answer
    x = 888,745.24

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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.