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Finding the Third Proportional to 225,105 and 531,368

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Solution

The third proportional to 225,105 and 531,368 is: 1,254,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,105 : 531,368 = 531,368 : x
  2. Step 2: Convert to fraction form
    225,105/531,368 = 531,368/x
  3. Step 3: Cross multiply
    225,105x = 531,368 × 531,368
  4. Step 4: Simplify right side
    225,105x = 282,351,951,424
  5. Step 5: Solve for x
    x = 282,351,951,424/225,105
  6. Step 6: Final answer
    x = 1,254,312.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.