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Finding the Third Proportional to 193,194 and 254,655

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Solution

The third proportional to 193,194 and 254,655 is: 335,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194 : 254,655 = 254,655 : x
  2. Step 2: Convert to fraction form
    193,194/254,655 = 254,655/x
  3. Step 3: Cross multiply
    193,194x = 254,655 × 254,655
  4. Step 4: Simplify right side
    193,194x = 64,849,169,025
  5. Step 5: Solve for x
    x = 64,849,169,025/193,194
  6. Step 6: Final answer
    x = 335,668.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.