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Finding the Third Proportional to 190,873 and 295,277.25

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Solution

The third proportional to 190,873 and 295,277.25 is: 456,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,873 : 295,277.25 = 295,277.25 : x
  2. Step 2: Convert to fraction form
    190,873/295,277.25 = 295,277.25/x
  3. Step 3: Cross multiply
    190,873x = 295,277.25 × 295,277.25
  4. Step 4: Simplify right side
    190,873x = 87,188,654,367.56
  5. Step 5: Solve for x
    x = 87,188,654,367.56/190,873
  6. Step 6: Final answer
    x = 456,788.83

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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.