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Finding the Third Proportional to 143,998 and 193,850

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Solution

The third proportional to 143,998 and 193,850 is: 260,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,998 : 193,850 = 193,850 : x
  2. Step 2: Convert to fraction form
    143,998/193,850 = 193,850/x
  3. Step 3: Cross multiply
    143,998x = 193,850 × 193,850
  4. Step 4: Simplify right side
    143,998x = 37,577,822,500
  5. Step 5: Solve for x
    x = 37,577,822,500/143,998
  6. Step 6: Final answer
    x = 260,960.73

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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.