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Finding the Third Proportional to 156,743 and 238,786

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Solution

The third proportional to 156,743 and 238,786 is: 363,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743 : 238,786 = 238,786 : x
  2. Step 2: Convert to fraction form
    156,743/238,786 = 238,786/x
  3. Step 3: Cross multiply
    156,743x = 238,786 × 238,786
  4. Step 4: Simplify right side
    156,743x = 57,018,753,796
  5. Step 5: Solve for x
    x = 57,018,753,796/156,743
  6. Step 6: Final answer
    x = 363,772.25

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