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Finding the Third Proportional to 156,109.50 and 368,322.75

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Solution

The third proportional to 156,109.50 and 368,322.75 is: 869,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,109.50 : 368,322.75 = 368,322.75 : x
  2. Step 2: Convert to fraction form
    156,109.50/368,322.75 = 368,322.75/x
  3. Step 3: Cross multiply
    156,109.50x = 368,322.75 × 368,322.75
  4. Step 4: Simplify right side
    156,109.50x = 135,661,648,167.56
  5. Step 5: Solve for x
    x = 135,661,648,167.56/156,109.50
  6. Step 6: Final answer
    x = 869,015.97

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Why These Related Problems?

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