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Finding the Third Proportional to 179,994 and 268,533

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Solution

The third proportional to 179,994 and 268,533 is: 400,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,994 : 268,533 = 268,533 : x
  2. Step 2: Convert to fraction form
    179,994/268,533 = 268,533/x
  3. Step 3: Cross multiply
    179,994x = 268,533 × 268,533
  4. Step 4: Simplify right side
    179,994x = 72,109,972,089
  5. Step 5: Solve for x
    x = 72,109,972,089/179,994
  6. Step 6: Final answer
    x = 400,624.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.