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Finding the Third Proportional to 156,633 and 235,642

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Solution

The third proportional to 156,633 and 235,642 is: 354,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,633 : 235,642 = 235,642 : x
  2. Step 2: Convert to fraction form
    156,633/235,642 = 235,642/x
  3. Step 3: Cross multiply
    156,633x = 235,642 × 235,642
  4. Step 4: Simplify right side
    156,633x = 55,527,152,164
  5. Step 5: Solve for x
    x = 55,527,152,164/156,633
  6. Step 6: Final answer
    x = 354,504.81

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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.