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Finding the Third Proportional to 195,703.88 and 302,396.63

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Solution

The third proportional to 195,703.88 and 302,396.63 is: 467,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,703.88 : 302,396.63 = 302,396.63 : x
  2. Step 2: Convert to fraction form
    195,703.88/302,396.63 = 302,396.63/x
  3. Step 3: Cross multiply
    195,703.88x = 302,396.63 × 302,396.63
  4. Step 4: Simplify right side
    195,703.88x = 91,443,718,811.39
  5. Step 5: Solve for x
    x = 91,443,718,811.39/195,703.88
  6. Step 6: Final answer
    x = 467,255.53

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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.