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Finding the Third Proportional to 163,742.77 and 260,376.61

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Solution

The third proportional to 163,742.77 and 260,376.61 is: 414,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,742.77 : 260,376.61 = 260,376.61 : x
  2. Step 2: Convert to fraction form
    163,742.77/260,376.61 = 260,376.61/x
  3. Step 3: Cross multiply
    163,742.77x = 260,376.61 × 260,376.61
  4. Step 4: Simplify right side
    163,742.77x = 67,795,978,709.62
  5. Step 5: Solve for x
    x = 67,795,978,709.62/163,742.77
  6. Step 6: Final answer
    x = 414,039.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.