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Finding the Third Proportional to 193,020.75 and 278,455.88

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Solution

The third proportional to 193,020.75 and 278,455.88 is: 401,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,020.75 : 278,455.88 = 278,455.88 : x
  2. Step 2: Convert to fraction form
    193,020.75/278,455.88 = 278,455.88/x
  3. Step 3: Cross multiply
    193,020.75x = 278,455.88 × 278,455.88
  4. Step 4: Simplify right side
    193,020.75x = 77,537,674,322.02
  5. Step 5: Solve for x
    x = 77,537,674,322.02/193,020.75
  6. Step 6: Final answer
    x = 401,706.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.