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Finding the Third Proportional to 165,573 and 360,144

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Solution

The third proportional to 165,573 and 360,144 is: 783,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,573 : 360,144 = 360,144 : x
  2. Step 2: Convert to fraction form
    165,573/360,144 = 360,144/x
  3. Step 3: Cross multiply
    165,573x = 360,144 × 360,144
  4. Step 4: Simplify right side
    165,573x = 129,703,700,736
  5. Step 5: Solve for x
    x = 129,703,700,736/165,573
  6. Step 6: Final answer
    x = 783,362.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.