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Finding the Third Proportional to 147,832 and 237,125

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Solution

The third proportional to 147,832 and 237,125 is: 380,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,832 : 237,125 = 237,125 : x
  2. Step 2: Convert to fraction form
    147,832/237,125 = 237,125/x
  3. Step 3: Cross multiply
    147,832x = 237,125 × 237,125
  4. Step 4: Simplify right side
    147,832x = 56,228,265,625
  5. Step 5: Solve for x
    x = 56,228,265,625/147,832
  6. Step 6: Final answer
    x = 380,352.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.