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Finding the Third Proportional to 198,305.86 and 302,106.16

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Solution

The third proportional to 198,305.86 and 302,106.16 is: 460,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305.86 : 302,106.16 = 302,106.16 : x
  2. Step 2: Convert to fraction form
    198,305.86/302,106.16 = 302,106.16/x
  3. Step 3: Cross multiply
    198,305.86x = 302,106.16 × 302,106.16
  4. Step 4: Simplify right side
    198,305.86x = 91,268,134,364.56
  5. Step 5: Solve for x
    x = 91,268,134,364.56/198,305.86
  6. Step 6: Final answer
    x = 460,239.22

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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.