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Finding the Third Proportional to 136,270.13 and 318,293.44

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Solution

The third proportional to 136,270.13 and 318,293.44 is: 743,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,270.13 : 318,293.44 = 318,293.44 : x
  2. Step 2: Convert to fraction form
    136,270.13/318,293.44 = 318,293.44/x
  3. Step 3: Cross multiply
    136,270.13x = 318,293.44 × 318,293.44
  4. Step 4: Simplify right side
    136,270.13x = 101,310,712,355.57
  5. Step 5: Solve for x
    x = 101,310,712,355.57/136,270.13
  6. Step 6: Final answer
    x = 743,455.05

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.