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Finding the Third Proportional to 225,838.50 and 330,275.25

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Solution

The third proportional to 225,838.50 and 330,275.25 is: 483,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,838.50 : 330,275.25 = 330,275.25 : x
  2. Step 2: Convert to fraction form
    225,838.50/330,275.25 = 330,275.25/x
  3. Step 3: Cross multiply
    225,838.50x = 330,275.25 × 330,275.25
  4. Step 4: Simplify right side
    225,838.50x = 109,081,740,762.56
  5. Step 5: Solve for x
    x = 109,081,740,762.56/225,838.50
  6. Step 6: Final answer
    x = 483,007.73

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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.