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Finding the Third Proportional to 235,649.25 and 335,021.06

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Solution

The third proportional to 235,649.25 and 335,021.06 is: 476,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,649.25 : 335,021.06 = 335,021.06 : x
  2. Step 2: Convert to fraction form
    235,649.25/335,021.06 = 335,021.06/x
  3. Step 3: Cross multiply
    235,649.25x = 335,021.06 × 335,021.06
  4. Step 4: Simplify right side
    235,649.25x = 112,239,112,318.63
  5. Step 5: Solve for x
    x = 112,239,112,318.63/235,649.25
  6. Step 6: Final answer
    x = 476,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.