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Finding the Third Proportional to 187,731 and 390,993.75

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Solution

The third proportional to 187,731 and 390,993.75 is: 814,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,731 : 390,993.75 = 390,993.75 : x
  2. Step 2: Convert to fraction form
    187,731/390,993.75 = 390,993.75/x
  3. Step 3: Cross multiply
    187,731x = 390,993.75 × 390,993.75
  4. Step 4: Simplify right side
    187,731x = 152,876,112,539.06
  5. Step 5: Solve for x
    x = 152,876,112,539.06/187,731
  6. Step 6: Final answer
    x = 814,336.00

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.