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Finding the Third Proportional to 241,993.50 and 375,933

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Solution

The third proportional to 241,993.50 and 375,933 is: 584,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,993.50 : 375,933 = 375,933 : x
  2. Step 2: Convert to fraction form
    241,993.50/375,933 = 375,933/x
  3. Step 3: Cross multiply
    241,993.50x = 375,933 × 375,933
  4. Step 4: Simplify right side
    241,993.50x = 141,325,620,489
  5. Step 5: Solve for x
    x = 141,325,620,489/241,993.50
  6. Step 6: Final answer
    x = 584,005.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.