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Finding the Third Proportional to 166,144 and 360,332

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Solution

The third proportional to 166,144 and 360,332 is: 781,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,144 : 360,332 = 360,332 : x
  2. Step 2: Convert to fraction form
    166,144/360,332 = 360,332/x
  3. Step 3: Cross multiply
    166,144x = 360,332 × 360,332
  4. Step 4: Simplify right side
    166,144x = 129,839,150,224
  5. Step 5: Solve for x
    x = 129,839,150,224/166,144
  6. Step 6: Final answer
    x = 781,485.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.