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Finding the Third Proportional to 156,057 and 368,164.50

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Solution

The third proportional to 156,057 and 368,164.50 is: 868,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,057 : 368,164.50 = 368,164.50 : x
  2. Step 2: Convert to fraction form
    156,057/368,164.50 = 368,164.50/x
  3. Step 3: Cross multiply
    156,057x = 368,164.50 × 368,164.50
  4. Step 4: Simplify right side
    156,057x = 135,545,099,060.25
  5. Step 5: Solve for x
    x = 135,545,099,060.25/156,057
  6. Step 6: Final answer
    x = 868,561.48

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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.