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Finding the Third Proportional to 185,996 and 238,818

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Solution

The third proportional to 185,996 and 238,818 is: 306,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,996 : 238,818 = 238,818 : x
  2. Step 2: Convert to fraction form
    185,996/238,818 = 238,818/x
  3. Step 3: Cross multiply
    185,996x = 238,818 × 238,818
  4. Step 4: Simplify right side
    185,996x = 57,034,037,124
  5. Step 5: Solve for x
    x = 57,034,037,124/185,996
  6. Step 6: Final answer
    x = 306,641.20

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Why These Related Problems?

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