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Finding the Third Proportional to 182,772 and 276,102

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Solution

The third proportional to 182,772 and 276,102 is: 417,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,772 : 276,102 = 276,102 : x
  2. Step 2: Convert to fraction form
    182,772/276,102 = 276,102/x
  3. Step 3: Cross multiply
    182,772x = 276,102 × 276,102
  4. Step 4: Simplify right side
    182,772x = 76,232,314,404
  5. Step 5: Solve for x
    x = 76,232,314,404/182,772
  6. Step 6: Final answer
    x = 417,089.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.