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Finding the Third Proportional to 120,197.50 and 183,474.50

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Solution

The third proportional to 120,197.50 and 183,474.50 is: 280,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.50 : 183,474.50 = 183,474.50 : x
  2. Step 2: Convert to fraction form
    120,197.50/183,474.50 = 183,474.50/x
  3. Step 3: Cross multiply
    120,197.50x = 183,474.50 × 183,474.50
  4. Step 4: Simplify right side
    120,197.50x = 33,662,892,150.25
  5. Step 5: Solve for x
    x = 33,662,892,150.25/120,197.50
  6. Step 6: Final answer
    x = 280,063.16

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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.