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Finding the Third Proportional to 193,977 and 301,052.25

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Solution

The third proportional to 193,977 and 301,052.25 is: 467,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,977 : 301,052.25 = 301,052.25 : x
  2. Step 2: Convert to fraction form
    193,977/301,052.25 = 301,052.25/x
  3. Step 3: Cross multiply
    193,977x = 301,052.25 × 301,052.25
  4. Step 4: Simplify right side
    193,977x = 90,632,457,230.06
  5. Step 5: Solve for x
    x = 90,632,457,230.06/193,977
  6. Step 6: Final answer
    x = 467,233.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.