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Finding the Third Proportional to 207,356 and 320,194

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Solution

The third proportional to 207,356 and 320,194 is: 494,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356 : 320,194 = 320,194 : x
  2. Step 2: Convert to fraction form
    207,356/320,194 = 320,194/x
  3. Step 3: Cross multiply
    207,356x = 320,194 × 320,194
  4. Step 4: Simplify right side
    207,356x = 102,524,197,636
  5. Step 5: Solve for x
    x = 102,524,197,636/207,356
  6. Step 6: Final answer
    x = 494,435.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.