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Finding the Third Proportional to 195,703 and 302,396

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Solution

The third proportional to 195,703 and 302,396 is: 467,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,703 : 302,396 = 302,396 : x
  2. Step 2: Convert to fraction form
    195,703/302,396 = 302,396/x
  3. Step 3: Cross multiply
    195,703x = 302,396 × 302,396
  4. Step 4: Simplify right side
    195,703x = 91,443,340,816
  5. Step 5: Solve for x
    x = 91,443,340,816/195,703
  6. Step 6: Final answer
    x = 467,255.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.