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Finding the Third Proportional to 182,101 and 285,663

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Solution

The third proportional to 182,101 and 285,663 is: 448,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,101 : 285,663 = 285,663 : x
  2. Step 2: Convert to fraction form
    182,101/285,663 = 285,663/x
  3. Step 3: Cross multiply
    182,101x = 285,663 × 285,663
  4. Step 4: Simplify right side
    182,101x = 81,603,349,569
  5. Step 5: Solve for x
    x = 81,603,349,569/182,101
  6. Step 6: Final answer
    x = 448,121.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.