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Finding the Third Proportional to 176,286.80 and 380,628.28

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Solution

The third proportional to 176,286.80 and 380,628.28 is: 821,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286.80 : 380,628.28 = 380,628.28 : x
  2. Step 2: Convert to fraction form
    176,286.80/380,628.28 = 380,628.28/x
  3. Step 3: Cross multiply
    176,286.80x = 380,628.28 × 380,628.28
  4. Step 4: Simplify right side
    176,286.80x = 144,877,888,487.33
  5. Step 5: Solve for x
    x = 144,877,888,487.33/176,286.80
  6. Step 6: Final answer
    x = 821,830.63

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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.