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Finding the Third Proportional to 187,782 and 405,054

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Solution

The third proportional to 187,782 and 405,054 is: 873,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,782 : 405,054 = 405,054 : x
  2. Step 2: Convert to fraction form
    187,782/405,054 = 405,054/x
  3. Step 3: Cross multiply
    187,782x = 405,054 × 405,054
  4. Step 4: Simplify right side
    187,782x = 164,068,742,916
  5. Step 5: Solve for x
    x = 164,068,742,916/187,782
  6. Step 6: Final answer
    x = 873,719.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.