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Finding the Third Proportional to 198,338 and 302,156

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Solution

The third proportional to 198,338 and 302,156 is: 460,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,338 : 302,156 = 302,156 : x
  2. Step 2: Convert to fraction form
    198,338/302,156 = 302,156/x
  3. Step 3: Cross multiply
    198,338x = 302,156 × 302,156
  4. Step 4: Simplify right side
    198,338x = 91,298,248,336
  5. Step 5: Solve for x
    x = 91,298,248,336/198,338
  6. Step 6: Final answer
    x = 460,316.47

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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.