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Finding the Third Proportional to 156,049.50 and 235,714

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Solution

The third proportional to 156,049.50 and 235,714 is: 356,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,049.50 : 235,714 = 235,714 : x
  2. Step 2: Convert to fraction form
    156,049.50/235,714 = 235,714/x
  3. Step 3: Cross multiply
    156,049.50x = 235,714 × 235,714
  4. Step 4: Simplify right side
    156,049.50x = 55,561,089,796
  5. Step 5: Solve for x
    x = 55,561,089,796/156,049.50
  6. Step 6: Final answer
    x = 356,047.86

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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.