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Finding the Third Proportional to 187,155 and 401,112

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Solution

The third proportional to 187,155 and 401,112 is: 859,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,155 : 401,112 = 401,112 : x
  2. Step 2: Convert to fraction form
    187,155/401,112 = 401,112/x
  3. Step 3: Cross multiply
    187,155x = 401,112 × 401,112
  4. Step 4: Simplify right side
    187,155x = 160,890,836,544
  5. Step 5: Solve for x
    x = 160,890,836,544/187,155
  6. Step 6: Final answer
    x = 859,666.25

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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.