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Finding the Third Proportional to 156,927 and 235,743

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Solution

The third proportional to 156,927 and 235,743 is: 354,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 235,743 = 235,743 : x
  2. Step 2: Convert to fraction form
    156,927/235,743 = 235,743/x
  3. Step 3: Cross multiply
    156,927x = 235,743 × 235,743
  4. Step 4: Simplify right side
    156,927x = 55,574,762,049
  5. Step 5: Solve for x
    x = 55,574,762,049/156,927
  6. Step 6: Final answer
    x = 354,144.04

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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.