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Finding the Third Proportional to 107,184 and 229,920

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Solution

The third proportional to 107,184 and 229,920 is: 493,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,184 : 229,920 = 229,920 : x
  2. Step 2: Convert to fraction form
    107,184/229,920 = 229,920/x
  3. Step 3: Cross multiply
    107,184x = 229,920 × 229,920
  4. Step 4: Simplify right side
    107,184x = 52,863,206,400
  5. Step 5: Solve for x
    x = 52,863,206,400/107,184
  6. Step 6: Final answer
    x = 493,200.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.