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Finding the Third Proportional to 117,488 and 178,990

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Solution

The third proportional to 117,488 and 178,990 is: 272,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,488 : 178,990 = 178,990 : x
  2. Step 2: Convert to fraction form
    117,488/178,990 = 178,990/x
  3. Step 3: Cross multiply
    117,488x = 178,990 × 178,990
  4. Step 4: Simplify right side
    117,488x = 32,037,420,100
  5. Step 5: Solve for x
    x = 32,037,420,100/117,488
  6. Step 6: Final answer
    x = 272,686.74

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Why These Related Problems?

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