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Finding the Third Proportional to 132,846.50 and 287,401

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Solution

The third proportional to 132,846.50 and 287,401 is: 621,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,846.50 : 287,401 = 287,401 : x
  2. Step 2: Convert to fraction form
    132,846.50/287,401 = 287,401/x
  3. Step 3: Cross multiply
    132,846.50x = 287,401 × 287,401
  4. Step 4: Simplify right side
    132,846.50x = 82,599,334,801
  5. Step 5: Solve for x
    x = 82,599,334,801/132,846.50
  6. Step 6: Final answer
    x = 621,765.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.