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Finding the Third Proportional to 182,330 and 275,929

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Solution

The third proportional to 182,330 and 275,929 is: 417,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,330 : 275,929 = 275,929 : x
  2. Step 2: Convert to fraction form
    182,330/275,929 = 275,929/x
  3. Step 3: Cross multiply
    182,330x = 275,929 × 275,929
  4. Step 4: Simplify right side
    182,330x = 76,136,813,041
  5. Step 5: Solve for x
    x = 76,136,813,041/182,330
  6. Step 6: Final answer
    x = 417,576.99

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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.