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Finding the Third Proportional to 132,021.75 and 283,946

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Solution

The third proportional to 132,021.75 and 283,946 is: 610,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021.75 : 283,946 = 283,946 : x
  2. Step 2: Convert to fraction form
    132,021.75/283,946 = 283,946/x
  3. Step 3: Cross multiply
    132,021.75x = 283,946 × 283,946
  4. Step 4: Simplify right side
    132,021.75x = 80,625,330,916
  5. Step 5: Solve for x
    x = 80,625,330,916/132,021.75
  6. Step 6: Final answer
    x = 610,697.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.