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Finding the Third Proportional to 191,268.75 and 295,132.50

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Solution

The third proportional to 191,268.75 and 295,132.50 is: 455,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,268.75 : 295,132.50 = 295,132.50 : x
  2. Step 2: Convert to fraction form
    191,268.75/295,132.50 = 295,132.50/x
  3. Step 3: Cross multiply
    191,268.75x = 295,132.50 × 295,132.50
  4. Step 4: Simplify right side
    191,268.75x = 87,103,192,556.25
  5. Step 5: Solve for x
    x = 87,103,192,556.25/191,268.75
  6. Step 6: Final answer
    x = 455,396.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.