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Finding the Third Proportional to 156,632 and 238,619

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Solution

The third proportional to 156,632 and 238,619 is: 363,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632 : 238,619 = 238,619 : x
  2. Step 2: Convert to fraction form
    156,632/238,619 = 238,619/x
  3. Step 3: Cross multiply
    156,632x = 238,619 × 238,619
  4. Step 4: Simplify right side
    156,632x = 56,939,027,161
  5. Step 5: Solve for x
    x = 56,939,027,161/156,632
  6. Step 6: Final answer
    x = 363,521.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.