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Finding the Third Proportional to 157,848 and 238,404

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Solution

The third proportional to 157,848 and 238,404 is: 360,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848 : 238,404 = 238,404 : x
  2. Step 2: Convert to fraction form
    157,848/238,404 = 238,404/x
  3. Step 3: Cross multiply
    157,848x = 238,404 × 238,404
  4. Step 4: Simplify right side
    157,848x = 56,836,467,216
  5. Step 5: Solve for x
    x = 56,836,467,216/157,848
  6. Step 6: Final answer
    x = 360,070.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.