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Finding the Third Proportional to 198,324 and 302,134

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Solution

The third proportional to 198,324 and 302,134 is: 460,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,324 : 302,134 = 302,134 : x
  2. Step 2: Convert to fraction form
    198,324/302,134 = 302,134/x
  3. Step 3: Cross multiply
    198,324x = 302,134 × 302,134
  4. Step 4: Simplify right side
    198,324x = 91,284,953,956
  5. Step 5: Solve for x
    x = 91,284,953,956/198,324
  6. Step 6: Final answer
    x = 460,281.93

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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.