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Finding the Third Proportional to 185,976 and 238,788

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Solution

The third proportional to 185,976 and 238,788 is: 306,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976 : 238,788 = 238,788 : x
  2. Step 2: Convert to fraction form
    185,976/238,788 = 238,788/x
  3. Step 3: Cross multiply
    185,976x = 238,788 × 238,788
  4. Step 4: Simplify right side
    185,976x = 57,019,708,944
  5. Step 5: Solve for x
    x = 57,019,708,944/185,976
  6. Step 6: Final answer
    x = 306,597.14

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.