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Finding the Third Proportional to 195,518 and 302,260

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Solution

The third proportional to 195,518 and 302,260 is: 467,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,518 : 302,260 = 302,260 : x
  2. Step 2: Convert to fraction form
    195,518/302,260 = 302,260/x
  3. Step 3: Cross multiply
    195,518x = 302,260 × 302,260
  4. Step 4: Simplify right side
    195,518x = 91,361,107,600
  5. Step 5: Solve for x
    x = 91,361,107,600/195,518
  6. Step 6: Final answer
    x = 467,277.22

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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.