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Finding the Third Proportional to 159,175.75 and 240,813.75

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Solution

The third proportional to 159,175.75 and 240,813.75 is: 364,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,175.75 : 240,813.75 = 240,813.75 : x
  2. Step 2: Convert to fraction form
    159,175.75/240,813.75 = 240,813.75/x
  3. Step 3: Cross multiply
    159,175.75x = 240,813.75 × 240,813.75
  4. Step 4: Simplify right side
    159,175.75x = 57,991,262,189.06
  5. Step 5: Solve for x
    x = 57,991,262,189.06/159,175.75
  6. Step 6: Final answer
    x = 364,322.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.