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Finding the Third Proportional to 183,748.50 and 196,647.75

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Solution

The third proportional to 183,748.50 and 196,647.75 is: 210,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,748.50 : 196,647.75 = 196,647.75 : x
  2. Step 2: Convert to fraction form
    183,748.50/196,647.75 = 196,647.75/x
  3. Step 3: Cross multiply
    183,748.50x = 196,647.75 × 196,647.75
  4. Step 4: Simplify right side
    183,748.50x = 38,670,337,580.06
  5. Step 5: Solve for x
    x = 38,670,337,580.06/183,748.50
  6. Step 6: Final answer
    x = 210,452.53

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.