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Finding the Third Proportional to 156,774 and 238,847

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Solution

The third proportional to 156,774 and 238,847 is: 363,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 238,847 = 238,847 : x
  2. Step 2: Convert to fraction form
    156,774/238,847 = 238,847/x
  3. Step 3: Cross multiply
    156,774x = 238,847 × 238,847
  4. Step 4: Simplify right side
    156,774x = 57,047,889,409
  5. Step 5: Solve for x
    x = 57,047,889,409/156,774
  6. Step 6: Final answer
    x = 363,886.16

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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.