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Finding the Third Proportional to 156,729 and 235,092

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Solution

The third proportional to 156,729 and 235,092 is: 352,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 235,092 = 235,092 : x
  2. Step 2: Convert to fraction form
    156,729/235,092 = 235,092/x
  3. Step 3: Cross multiply
    156,729x = 235,092 × 235,092
  4. Step 4: Simplify right side
    156,729x = 55,268,248,464
  5. Step 5: Solve for x
    x = 55,268,248,464/156,729
  6. Step 6: Final answer
    x = 352,635.75

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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.