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Finding the Third Proportional to 195,980 and 302,808

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Solution

The third proportional to 195,980 and 302,808 is: 467,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,980 : 302,808 = 302,808 : x
  2. Step 2: Convert to fraction form
    195,980/302,808 = 302,808/x
  3. Step 3: Cross multiply
    195,980x = 302,808 × 302,808
  4. Step 4: Simplify right side
    195,980x = 91,692,684,864
  5. Step 5: Solve for x
    x = 91,692,684,864/195,980
  6. Step 6: Final answer
    x = 467,867.56

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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.