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Finding the Third Proportional to 78,974 and 171,328

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Solution

The third proportional to 78,974 and 171,328 is: 371,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,974 : 171,328 = 171,328 : x
  2. Step 2: Convert to fraction form
    78,974/171,328 = 171,328/x
  3. Step 3: Cross multiply
    78,974x = 171,328 × 171,328
  4. Step 4: Simplify right side
    78,974x = 29,353,283,584
  5. Step 5: Solve for x
    x = 29,353,283,584/78,974
  6. Step 6: Final answer
    x = 371,682.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.