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Finding the Third Proportional to 134,804.25 and 206,296.88

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Solution

The third proportional to 134,804.25 and 206,296.88 is: 315,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,804.25 : 206,296.88 = 206,296.88 : x
  2. Step 2: Convert to fraction form
    134,804.25/206,296.88 = 206,296.88/x
  3. Step 3: Cross multiply
    134,804.25x = 206,296.88 × 206,296.88
  4. Step 4: Simplify right side
    134,804.25x = 42,558,400,634.77
  5. Step 5: Solve for x
    x = 42,558,400,634.77/134,804.25
  6. Step 6: Final answer
    x = 315,705.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.