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Finding the Third Proportional to 67,508 and 156,285.50

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Solution

The third proportional to 67,508 and 156,285.50 is: 361,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,508 : 156,285.50 = 156,285.50 : x
  2. Step 2: Convert to fraction form
    67,508/156,285.50 = 156,285.50/x
  3. Step 3: Cross multiply
    67,508x = 156,285.50 × 156,285.50
  4. Step 4: Simplify right side
    67,508x = 24,425,157,510.25
  5. Step 5: Solve for x
    x = 24,425,157,510.25/67,508
  6. Step 6: Final answer
    x = 361,811.30

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.