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Finding the Third Proportional to 198,310.57 and 302,112.07

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Solution

The third proportional to 198,310.57 and 302,112.07 is: 460,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310.57 : 302,112.07 = 302,112.07 : x
  2. Step 2: Convert to fraction form
    198,310.57/302,112.07 = 302,112.07/x
  3. Step 3: Cross multiply
    198,310.57x = 302,112.07 × 302,112.07
  4. Step 4: Simplify right side
    198,310.57x = 91,271,703,028.51
  5. Step 5: Solve for x
    x = 91,271,703,028.51/198,310.57
  6. Step 6: Final answer
    x = 460,246.28

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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.