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Finding the Third Proportional to 198,342 and 302,184

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Solution

The third proportional to 198,342 and 302,184 is: 460,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,342 : 302,184 = 302,184 : x
  2. Step 2: Convert to fraction form
    198,342/302,184 = 302,184/x
  3. Step 3: Cross multiply
    198,342x = 302,184 × 302,184
  4. Step 4: Simplify right side
    198,342x = 91,315,169,856
  5. Step 5: Solve for x
    x = 91,315,169,856/198,342
  6. Step 6: Final answer
    x = 460,392.50

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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.