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Finding the Third Proportional to 120,190.50 and 183,464

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Solution

The third proportional to 120,190.50 and 183,464 is: 280,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.50 : 183,464 = 183,464 : x
  2. Step 2: Convert to fraction form
    120,190.50/183,464 = 183,464/x
  3. Step 3: Cross multiply
    120,190.50x = 183,464 × 183,464
  4. Step 4: Simplify right side
    120,190.50x = 33,659,039,296
  5. Step 5: Solve for x
    x = 33,659,039,296/120,190.50
  6. Step 6: Final answer
    x = 280,047.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.