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Finding the Third Proportional to 225,202 and 349,131

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Solution

The third proportional to 225,202 and 349,131 is: 541,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,202 : 349,131 = 349,131 : x
  2. Step 2: Convert to fraction form
    225,202/349,131 = 349,131/x
  3. Step 3: Cross multiply
    225,202x = 349,131 × 349,131
  4. Step 4: Simplify right side
    225,202x = 121,892,455,161
  5. Step 5: Solve for x
    x = 121,892,455,161/225,202
  6. Step 6: Final answer
    x = 541,258.32

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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.