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Finding the Third Proportional to 166,960 and 360,224

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Solution

The third proportional to 166,960 and 360,224 is: 777,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,960 : 360,224 = 360,224 : x
  2. Step 2: Convert to fraction form
    166,960/360,224 = 360,224/x
  3. Step 3: Cross multiply
    166,960x = 360,224 × 360,224
  4. Step 4: Simplify right side
    166,960x = 129,761,330,176
  5. Step 5: Solve for x
    x = 129,761,330,176/166,960
  6. Step 6: Final answer
    x = 777,200.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.