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Finding the Third Proportional to 78,453.50 and 171,487

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Solution

The third proportional to 78,453.50 and 171,487 is: 374,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,453.50 : 171,487 = 171,487 : x
  2. Step 2: Convert to fraction form
    78,453.50/171,487 = 171,487/x
  3. Step 3: Cross multiply
    78,453.50x = 171,487 × 171,487
  4. Step 4: Simplify right side
    78,453.50x = 29,407,791,169
  5. Step 5: Solve for x
    x = 29,407,791,169/78,453.50
  6. Step 6: Final answer
    x = 374,843.58

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