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Finding the Third Proportional to 225,790 and 349,803

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Solution

The third proportional to 225,790 and 349,803 is: 541,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,790 : 349,803 = 349,803 : x
  2. Step 2: Convert to fraction form
    225,790/349,803 = 349,803/x
  3. Step 3: Cross multiply
    225,790x = 349,803 × 349,803
  4. Step 4: Simplify right side
    225,790x = 122,362,138,809
  5. Step 5: Solve for x
    x = 122,362,138,809/225,790
  6. Step 6: Final answer
    x = 541,928.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.