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Finding the Third Proportional to 225,865.38 and 330,312.75

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Solution

The third proportional to 225,865.38 and 330,312.75 is: 483,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.38 : 330,312.75 = 330,312.75 : x
  2. Step 2: Convert to fraction form
    225,865.38/330,312.75 = 330,312.75/x
  3. Step 3: Cross multiply
    225,865.38x = 330,312.75 × 330,312.75
  4. Step 4: Simplify right side
    225,865.38x = 109,106,512,812.56
  5. Step 5: Solve for x
    x = 109,106,512,812.56/225,865.38
  6. Step 6: Final answer
    x = 483,059.93

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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.