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Finding the Third Proportional to 143,263.69 and 193,874.77

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Solution

The third proportional to 143,263.69 and 193,874.77 is: 262,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,263.69 : 193,874.77 = 193,874.77 : x
  2. Step 2: Convert to fraction form
    143,263.69/193,874.77 = 193,874.77/x
  3. Step 3: Cross multiply
    143,263.69x = 193,874.77 × 193,874.77
  4. Step 4: Simplify right side
    143,263.69x = 37,587,424,746.15
  5. Step 5: Solve for x
    x = 37,587,424,746.15/143,263.69
  6. Step 6: Final answer
    x = 262,365.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.