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Finding the Third Proportional to 203,613 and 310,686

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Solution

The third proportional to 203,613 and 310,686 is: 474,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,613 : 310,686 = 310,686 : x
  2. Step 2: Convert to fraction form
    203,613/310,686 = 310,686/x
  3. Step 3: Cross multiply
    203,613x = 310,686 × 310,686
  4. Step 4: Simplify right side
    203,613x = 96,525,790,596
  5. Step 5: Solve for x
    x = 96,525,790,596/203,613
  6. Step 6: Final answer
    x = 474,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.