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Finding the Third Proportional to 156,592 and 238,001

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Solution

The third proportional to 156,592 and 238,001 is: 361,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,592 : 238,001 = 238,001 : x
  2. Step 2: Convert to fraction form
    156,592/238,001 = 238,001/x
  3. Step 3: Cross multiply
    156,592x = 238,001 × 238,001
  4. Step 4: Simplify right side
    156,592x = 56,644,476,001
  5. Step 5: Solve for x
    x = 56,644,476,001/156,592
  6. Step 6: Final answer
    x = 361,732.89

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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.