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Finding the Third Proportional to 80,447 and 171,574

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Solution

The third proportional to 80,447 and 171,574 is: 365,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,447 : 171,574 = 171,574 : x
  2. Step 2: Convert to fraction form
    80,447/171,574 = 171,574/x
  3. Step 3: Cross multiply
    80,447x = 171,574 × 171,574
  4. Step 4: Simplify right side
    80,447x = 29,437,637,476
  5. Step 5: Solve for x
    x = 29,437,637,476/80,447
  6. Step 6: Final answer
    x = 365,925.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.