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Finding the Third Proportional to 207,268 and 320,062

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Solution

The third proportional to 207,268 and 320,062 is: 494,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,268 : 320,062 = 320,062 : x
  2. Step 2: Convert to fraction form
    207,268/320,062 = 320,062/x
  3. Step 3: Cross multiply
    207,268x = 320,062 × 320,062
  4. Step 4: Simplify right side
    207,268x = 102,439,683,844
  5. Step 5: Solve for x
    x = 102,439,683,844/207,268
  6. Step 6: Final answer
    x = 494,237.82

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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.