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Finding the Third Proportional to 208,332.28 and 294,982.17

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Solution

The third proportional to 208,332.28 and 294,982.17 is: 417,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,332.28 : 294,982.17 = 294,982.17 : x
  2. Step 2: Convert to fraction form
    208,332.28/294,982.17 = 294,982.17/x
  3. Step 3: Cross multiply
    208,332.28x = 294,982.17 × 294,982.17
  4. Step 4: Simplify right side
    208,332.28x = 87,014,481,724.09
  5. Step 5: Solve for x
    x = 87,014,481,724.09/208,332.28
  6. Step 6: Final answer
    x = 417,671.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.