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Finding the Third Proportional to 156,063.75 and 235,737

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Solution

The third proportional to 156,063.75 and 235,737 is: 356,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,063.75 : 235,737 = 235,737 : x
  2. Step 2: Convert to fraction form
    156,063.75/235,737 = 235,737/x
  3. Step 3: Cross multiply
    156,063.75x = 235,737 × 235,737
  4. Step 4: Simplify right side
    156,063.75x = 55,571,933,169
  5. Step 5: Solve for x
    x = 55,571,933,169/156,063.75
  6. Step 6: Final answer
    x = 356,084.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.