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Finding the Third Proportional to 163,812.75 and 260,473.13

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Solution

The third proportional to 163,812.75 and 260,473.13 is: 414,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,812.75 : 260,473.13 = 260,473.13 : x
  2. Step 2: Convert to fraction form
    163,812.75/260,473.13 = 260,473.13/x
  3. Step 3: Cross multiply
    163,812.75x = 260,473.13 × 260,473.13
  4. Step 4: Simplify right side
    163,812.75x = 67,846,248,847.27
  5. Step 5: Solve for x
    x = 67,846,248,847.27/163,812.75
  6. Step 6: Final answer
    x = 414,169.52

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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.