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Finding the Third Proportional to 163,932.75 and 260,669.25

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Solution

The third proportional to 163,932.75 and 260,669.25 is: 414,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,932.75 : 260,669.25 = 260,669.25 : x
  2. Step 2: Convert to fraction form
    163,932.75/260,669.25 = 260,669.25/x
  3. Step 3: Cross multiply
    163,932.75x = 260,669.25 × 260,669.25
  4. Step 4: Simplify right side
    163,932.75x = 67,948,457,895.56
  5. Step 5: Solve for x
    x = 67,948,457,895.56/163,932.75
  6. Step 6: Final answer
    x = 414,489.83

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