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Finding the Third Proportional to 198,305.82 and 302,106.11

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Solution

The third proportional to 198,305.82 and 302,106.11 is: 460,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305.82 : 302,106.11 = 302,106.11 : x
  2. Step 2: Convert to fraction form
    198,305.82/302,106.11 = 302,106.11/x
  3. Step 3: Cross multiply
    198,305.82x = 302,106.11 × 302,106.11
  4. Step 4: Simplify right side
    198,305.82x = 91,268,102,501.80
  5. Step 5: Solve for x
    x = 91,268,102,501.80/198,305.82
  6. Step 6: Final answer
    x = 460,239.14

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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.