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Finding the Third Proportional to 195,984 and 302,814

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Solution

The third proportional to 195,984 and 302,814 is: 467,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984 : 302,814 = 302,814 : x
  2. Step 2: Convert to fraction form
    195,984/302,814 = 302,814/x
  3. Step 3: Cross multiply
    195,984x = 302,814 × 302,814
  4. Step 4: Simplify right side
    195,984x = 91,696,318,596
  5. Step 5: Solve for x
    x = 91,696,318,596/195,984
  6. Step 6: Final answer
    x = 467,876.55

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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.