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Finding the Third Proportional to 195,993 and 429,330

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Solution

The third proportional to 195,993 and 429,330 is: 940,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,993 : 429,330 = 429,330 : x
  2. Step 2: Convert to fraction form
    195,993/429,330 = 429,330/x
  3. Step 3: Cross multiply
    195,993x = 429,330 × 429,330
  4. Step 4: Simplify right side
    195,993x = 184,324,248,900
  5. Step 5: Solve for x
    x = 184,324,248,900/195,993
  6. Step 6: Final answer
    x = 940,463.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.