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Finding the Third Proportional to 156,596 and 238,007

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Solution

The third proportional to 156,596 and 238,007 is: 361,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,596 : 238,007 = 238,007 : x
  2. Step 2: Convert to fraction form
    156,596/238,007 = 238,007/x
  3. Step 3: Cross multiply
    156,596x = 238,007 × 238,007
  4. Step 4: Simplify right side
    156,596x = 56,647,332,049
  5. Step 5: Solve for x
    x = 56,647,332,049/156,596
  6. Step 6: Final answer
    x = 361,741.88

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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.