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Finding the Third Proportional to 135,600.75 and 294,985.13

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Solution

The third proportional to 135,600.75 and 294,985.13 is: 641,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,600.75 : 294,985.13 = 294,985.13 : x
  2. Step 2: Convert to fraction form
    135,600.75/294,985.13 = 294,985.13/x
  3. Step 3: Cross multiply
    135,600.75x = 294,985.13 × 294,985.13
  4. Step 4: Simplify right side
    135,600.75x = 87,016,223,971.27
  5. Step 5: Solve for x
    x = 87,016,223,971.27/135,600.75
  6. Step 6: Final answer
    x = 641,709.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.