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Finding the Third Proportional to 180,644 and 254,162

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Solution

The third proportional to 180,644 and 254,162 is: 357,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644 : 254,162 = 254,162 : x
  2. Step 2: Convert to fraction form
    180,644/254,162 = 254,162/x
  3. Step 3: Cross multiply
    180,644x = 254,162 × 254,162
  4. Step 4: Simplify right side
    180,644x = 64,598,322,244
  5. Step 5: Solve for x
    x = 64,598,322,244/180,644
  6. Step 6: Final answer
    x = 357,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.