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Finding the Third Proportional to 225,809.63 and 330,235.50

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Solution

The third proportional to 225,809.63 and 330,235.50 is: 482,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,809.63 : 330,235.50 = 330,235.50 : x
  2. Step 2: Convert to fraction form
    225,809.63/330,235.50 = 330,235.50/x
  3. Step 3: Cross multiply
    225,809.63x = 330,235.50 × 330,235.50
  4. Step 4: Simplify right side
    225,809.63x = 109,055,485,460.25
  5. Step 5: Solve for x
    x = 109,055,485,460.25/225,809.63
  6. Step 6: Final answer
    x = 482,953.22

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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.