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Finding the Third Proportional to 145,794 and 217,932

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Solution

The third proportional to 145,794 and 217,932 is: 325,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,794 : 217,932 = 217,932 : x
  2. Step 2: Convert to fraction form
    145,794/217,932 = 217,932/x
  3. Step 3: Cross multiply
    145,794x = 217,932 × 217,932
  4. Step 4: Simplify right side
    145,794x = 47,494,356,624
  5. Step 5: Solve for x
    x = 47,494,356,624/145,794
  6. Step 6: Final answer
    x = 325,763.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.