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Finding the Third Proportional to 198,334 and 302,154

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Solution

The third proportional to 198,334 and 302,154 is: 460,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,334 : 302,154 = 302,154 : x
  2. Step 2: Convert to fraction form
    198,334/302,154 = 302,154/x
  3. Step 3: Cross multiply
    198,334x = 302,154 × 302,154
  4. Step 4: Simplify right side
    198,334x = 91,297,039,716
  5. Step 5: Solve for x
    x = 91,297,039,716/198,334
  6. Step 6: Final answer
    x = 460,319.66

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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.