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Finding the Third Proportional to 156,099 and 335,890.50

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Solution

The third proportional to 156,099 and 335,890.50 is: 722,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,099 : 335,890.50 = 335,890.50 : x
  2. Step 2: Convert to fraction form
    156,099/335,890.50 = 335,890.50/x
  3. Step 3: Cross multiply
    156,099x = 335,890.50 × 335,890.50
  4. Step 4: Simplify right side
    156,099x = 112,822,427,990.25
  5. Step 5: Solve for x
    x = 112,822,427,990.25/156,099
  6. Step 6: Final answer
    x = 722,762.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.