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Finding the Third Proportional to 187,017.75 and 400,833

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Solution

The third proportional to 187,017.75 and 400,833 is: 859,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,017.75 : 400,833 = 400,833 : x
  2. Step 2: Convert to fraction form
    187,017.75/400,833 = 400,833/x
  3. Step 3: Cross multiply
    187,017.75x = 400,833 × 400,833
  4. Step 4: Simplify right side
    187,017.75x = 160,667,093,889
  5. Step 5: Solve for x
    x = 160,667,093,889/187,017.75
  6. Step 6: Final answer
    x = 859,100.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.