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Finding the Third Proportional to 208,040 and 322,756

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Solution

The third proportional to 208,040 and 322,756 is: 500,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,040 : 322,756 = 322,756 : x
  2. Step 2: Convert to fraction form
    208,040/322,756 = 322,756/x
  3. Step 3: Cross multiply
    208,040x = 322,756 × 322,756
  4. Step 4: Simplify right side
    208,040x = 104,171,435,536
  5. Step 5: Solve for x
    x = 104,171,435,536/208,040
  6. Step 6: Final answer
    x = 500,727.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.