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Finding the Third Proportional to 191,022.75 and 279,762.75

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Solution

The third proportional to 191,022.75 and 279,762.75 is: 409,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,022.75 : 279,762.75 = 279,762.75 : x
  2. Step 2: Convert to fraction form
    191,022.75/279,762.75 = 279,762.75/x
  3. Step 3: Cross multiply
    191,022.75x = 279,762.75 × 279,762.75
  4. Step 4: Simplify right side
    191,022.75x = 78,267,196,287.56
  5. Step 5: Solve for x
    x = 78,267,196,287.56/191,022.75
  6. Step 6: Final answer
    x = 409,727.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.