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Finding the Third Proportional to 182,933 and 260,028

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Solution

The third proportional to 182,933 and 260,028 is: 369,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,933 : 260,028 = 260,028 : x
  2. Step 2: Convert to fraction form
    182,933/260,028 = 260,028/x
  3. Step 3: Cross multiply
    182,933x = 260,028 × 260,028
  4. Step 4: Simplify right side
    182,933x = 67,614,560,784
  5. Step 5: Solve for x
    x = 67,614,560,784/182,933
  6. Step 6: Final answer
    x = 369,613.80

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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.