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Finding the Third Proportional to 156,711 and 235,069.50

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Solution

The third proportional to 156,711 and 235,069.50 is: 352,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,711 : 235,069.50 = 235,069.50 : x
  2. Step 2: Convert to fraction form
    156,711/235,069.50 = 235,069.50/x
  3. Step 3: Cross multiply
    156,711x = 235,069.50 × 235,069.50
  4. Step 4: Simplify right side
    156,711x = 55,257,669,830.25
  5. Step 5: Solve for x
    x = 55,257,669,830.25/156,711
  6. Step 6: Final answer
    x = 352,608.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.