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Finding the Third Proportional to 156,630 and 238,617

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Solution

The third proportional to 156,630 and 238,617 is: 363,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,630 : 238,617 = 238,617 : x
  2. Step 2: Convert to fraction form
    156,630/238,617 = 238,617/x
  3. Step 3: Cross multiply
    156,630x = 238,617 × 238,617
  4. Step 4: Simplify right side
    156,630x = 56,938,072,689
  5. Step 5: Solve for x
    x = 56,938,072,689/156,630
  6. Step 6: Final answer
    x = 363,519.59

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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.