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Finding the Third Proportional to 115,584 and 238,920

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Solution

The third proportional to 115,584 and 238,920 is: 493,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,584 : 238,920 = 238,920 : x
  2. Step 2: Convert to fraction form
    115,584/238,920 = 238,920/x
  3. Step 3: Cross multiply
    115,584x = 238,920 × 238,920
  4. Step 4: Simplify right side
    115,584x = 57,082,766,400
  5. Step 5: Solve for x
    x = 57,082,766,400/115,584
  6. Step 6: Final answer
    x = 493,863.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.