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Finding the Third Proportional to 164,433.75 and 360,288.75

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Solution

The third proportional to 164,433.75 and 360,288.75 is: 789,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,433.75 : 360,288.75 = 360,288.75 : x
  2. Step 2: Convert to fraction form
    164,433.75/360,288.75 = 360,288.75/x
  3. Step 3: Cross multiply
    164,433.75x = 360,288.75 × 360,288.75
  4. Step 4: Simplify right side
    164,433.75x = 129,807,983,376.56
  5. Step 5: Solve for x
    x = 129,807,983,376.56/164,433.75
  6. Step 6: Final answer
    x = 789,424.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.