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Finding the Third Proportional to 194,760.75 and 293,423.25

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Solution

The third proportional to 194,760.75 and 293,423.25 is: 442,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,760.75 : 293,423.25 = 293,423.25 : x
  2. Step 2: Convert to fraction form
    194,760.75/293,423.25 = 293,423.25/x
  3. Step 3: Cross multiply
    194,760.75x = 293,423.25 × 293,423.25
  4. Step 4: Simplify right side
    194,760.75x = 86,097,203,640.56
  5. Step 5: Solve for x
    x = 86,097,203,640.56/194,760.75
  6. Step 6: Final answer
    x = 442,066.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.