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Finding the Third Proportional to 186,967.13 and 405,645.75

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Solution

The third proportional to 186,967.13 and 405,645.75 is: 880,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.13 : 405,645.75 = 405,645.75 : x
  2. Step 2: Convert to fraction form
    186,967.13/405,645.75 = 405,645.75/x
  3. Step 3: Cross multiply
    186,967.13x = 405,645.75 × 405,645.75
  4. Step 4: Simplify right side
    186,967.13x = 164,548,474,493.06
  5. Step 5: Solve for x
    x = 164,548,474,493.06/186,967.13
  6. Step 6: Final answer
    x = 880,093.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.