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Finding the Third Proportional to 193,020.25 and 278,455.50

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Solution

The third proportional to 193,020.25 and 278,455.50 is: 401,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,020.25 : 278,455.50 = 278,455.50 : x
  2. Step 2: Convert to fraction form
    193,020.25/278,455.50 = 278,455.50/x
  3. Step 3: Cross multiply
    193,020.25x = 278,455.50 × 278,455.50
  4. Step 4: Simplify right side
    193,020.25x = 77,537,465,480.25
  5. Step 5: Solve for x
    x = 77,537,465,480.25/193,020.25
  6. Step 6: Final answer
    x = 401,706.38

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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.