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Finding the Third Proportional to 189,670.50 and 293,667

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Solution

The third proportional to 189,670.50 and 293,667 is: 454,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,670.50 : 293,667 = 293,667 : x
  2. Step 2: Convert to fraction form
    189,670.50/293,667 = 293,667/x
  3. Step 3: Cross multiply
    189,670.50x = 293,667 × 293,667
  4. Step 4: Simplify right side
    189,670.50x = 86,240,306,889
  5. Step 5: Solve for x
    x = 86,240,306,889/189,670.50
  6. Step 6: Final answer
    x = 454,684.87

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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.