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Finding the Third Proportional to 156,120.75 and 368,421.75

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Solution

The third proportional to 156,120.75 and 368,421.75 is: 869,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,120.75 : 368,421.75 = 368,421.75 : x
  2. Step 2: Convert to fraction form
    156,120.75/368,421.75 = 368,421.75/x
  3. Step 3: Cross multiply
    156,120.75x = 368,421.75 × 368,421.75
  4. Step 4: Simplify right side
    156,120.75x = 135,734,585,873.06
  5. Step 5: Solve for x
    x = 135,734,585,873.06/156,120.75
  6. Step 6: Final answer
    x = 869,420.53

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.