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Finding the Third Proportional to 225,864 and 330,308

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Solution

The third proportional to 225,864 and 330,308 is: 483,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864 : 330,308 = 330,308 : x
  2. Step 2: Convert to fraction form
    225,864/330,308 = 330,308/x
  3. Step 3: Cross multiply
    225,864x = 330,308 × 330,308
  4. Step 4: Simplify right side
    225,864x = 109,103,374,864
  5. Step 5: Solve for x
    x = 109,103,374,864/225,864
  6. Step 6: Final answer
    x = 483,048.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.