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Finding the Third Proportional to 119,380.50 and 186,333.75

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Solution

The third proportional to 119,380.50 and 186,333.75 is: 290,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,380.50 : 186,333.75 = 186,333.75 : x
  2. Step 2: Convert to fraction form
    119,380.50/186,333.75 = 186,333.75/x
  3. Step 3: Cross multiply
    119,380.50x = 186,333.75 × 186,333.75
  4. Step 4: Simplify right side
    119,380.50x = 34,720,266,389.06
  5. Step 5: Solve for x
    x = 34,720,266,389.06/119,380.50
  6. Step 6: Final answer
    x = 290,837.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.