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Finding the Third Proportional to 107,224 and 229,173

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Solution

The third proportional to 107,224 and 229,173 is: 489,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,224 : 229,173 = 229,173 : x
  2. Step 2: Convert to fraction form
    107,224/229,173 = 229,173/x
  3. Step 3: Cross multiply
    107,224x = 229,173 × 229,173
  4. Step 4: Simplify right side
    107,224x = 52,520,263,929
  5. Step 5: Solve for x
    x = 52,520,263,929/107,224
  6. Step 6: Final answer
    x = 489,818.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.