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Finding the Third Proportional to 71,250.50 and 152,456

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Solution

The third proportional to 71,250.50 and 152,456 is: 326,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,250.50 : 152,456 = 152,456 : x
  2. Step 2: Convert to fraction form
    71,250.50/152,456 = 152,456/x
  3. Step 3: Cross multiply
    71,250.50x = 152,456 × 152,456
  4. Step 4: Simplify right side
    71,250.50x = 23,242,831,936
  5. Step 5: Solve for x
    x = 23,242,831,936/71,250.50
  6. Step 6: Final answer
    x = 326,212.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.