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Finding the Third Proportional to 156,711 and 235,414.50

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Solution

The third proportional to 156,711 and 235,414.50 is: 353,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,711 : 235,414.50 = 235,414.50 : x
  2. Step 2: Convert to fraction form
    156,711/235,414.50 = 235,414.50/x
  3. Step 3: Cross multiply
    156,711x = 235,414.50 × 235,414.50
  4. Step 4: Simplify right side
    156,711x = 55,419,986,810.25
  5. Step 5: Solve for x
    x = 55,419,986,810.25/156,711
  6. Step 6: Final answer
    x = 353,644.52

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Why These Related Problems?

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