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Finding the Third Proportional to 119,799 and 178,665.75

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Solution

The third proportional to 119,799 and 178,665.75 is: 266,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,799 : 178,665.75 = 178,665.75 : x
  2. Step 2: Convert to fraction form
    119,799/178,665.75 = 178,665.75/x
  3. Step 3: Cross multiply
    119,799x = 178,665.75 × 178,665.75
  4. Step 4: Simplify right side
    119,799x = 31,921,450,223.06
  5. Step 5: Solve for x
    x = 31,921,450,223.06/119,799
  6. Step 6: Final answer
    x = 266,458.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.