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Finding the Third Proportional to 225,824.63 and 330,256.41

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Solution

The third proportional to 225,824.63 and 330,256.41 is: 482,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,824.63 : 330,256.41 = 330,256.41 : x
  2. Step 2: Convert to fraction form
    225,824.63/330,256.41 = 330,256.41/x
  3. Step 3: Cross multiply
    225,824.63x = 330,256.41 × 330,256.41
  4. Step 4: Simplify right side
    225,824.63x = 109,069,293,869.17
  5. Step 5: Solve for x
    x = 109,069,293,869.17/225,824.63
  6. Step 6: Final answer
    x = 482,982.29

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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.