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Finding the Third Proportional to 208,424 and 322,932

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Solution

The third proportional to 208,424 and 322,932 is: 500,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424 : 322,932 = 322,932 : x
  2. Step 2: Convert to fraction form
    208,424/322,932 = 322,932/x
  3. Step 3: Cross multiply
    208,424x = 322,932 × 322,932
  4. Step 4: Simplify right side
    208,424x = 104,285,076,624
  5. Step 5: Solve for x
    x = 104,285,076,624/208,424
  6. Step 6: Final answer
    x = 500,350.62

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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.