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Finding the Third Proportional to 131,928 and 293,384

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Solution

The third proportional to 131,928 and 293,384 is: 652,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,928 : 293,384 = 293,384 : x
  2. Step 2: Convert to fraction form
    131,928/293,384 = 293,384/x
  3. Step 3: Cross multiply
    131,928x = 293,384 × 293,384
  4. Step 4: Simplify right side
    131,928x = 86,074,171,456
  5. Step 5: Solve for x
    x = 86,074,171,456/131,928
  6. Step 6: Final answer
    x = 652,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.