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Finding the Third Proportional to 156,115.13 and 368,408.81

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Solution

The third proportional to 156,115.13 and 368,408.81 is: 869,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,115.13 : 368,408.81 = 368,408.81 : x
  2. Step 2: Convert to fraction form
    156,115.13/368,408.81 = 368,408.81/x
  3. Step 3: Cross multiply
    156,115.13x = 368,408.81 × 368,408.81
  4. Step 4: Simplify right side
    156,115.13x = 135,725,053,127.66
  5. Step 5: Solve for x
    x = 135,725,053,127.66/156,115.13
  6. Step 6: Final answer
    x = 869,390.80

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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.