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Finding the Third Proportional to 78,371.50 and 171,323

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Solution

The third proportional to 78,371.50 and 171,323 is: 374,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.50 : 171,323 = 171,323 : x
  2. Step 2: Convert to fraction form
    78,371.50/171,323 = 171,323/x
  3. Step 3: Cross multiply
    78,371.50x = 171,323 × 171,323
  4. Step 4: Simplify right side
    78,371.50x = 29,351,570,329
  5. Step 5: Solve for x
    x = 29,351,570,329/78,371.50
  6. Step 6: Final answer
    x = 374,518.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.