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Finding the Third Proportional to 156,054.38 and 368,157.38

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Solution

The third proportional to 156,054.38 and 368,157.38 is: 868,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,054.38 : 368,157.38 = 368,157.38 : x
  2. Step 2: Convert to fraction form
    156,054.38/368,157.38 = 368,157.38/x
  3. Step 3: Cross multiply
    156,054.38x = 368,157.38 × 368,157.38
  4. Step 4: Simplify right side
    156,054.38x = 135,539,852,766.89
  5. Step 5: Solve for x
    x = 135,539,852,766.89/156,054.38
  6. Step 6: Final answer
    x = 868,542.47

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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.