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Finding the Third Proportional to 198,343 and 302,165

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Solution

The third proportional to 198,343 and 302,165 is: 460,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,343 : 302,165 = 302,165 : x
  2. Step 2: Convert to fraction form
    198,343/302,165 = 302,165/x
  3. Step 3: Cross multiply
    198,343x = 302,165 × 302,165
  4. Step 4: Simplify right side
    198,343x = 91,303,687,225
  5. Step 5: Solve for x
    x = 91,303,687,225/198,343
  6. Step 6: Final answer
    x = 460,332.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.