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Finding the Third Proportional to 225,819 and 349,852

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Solution

The third proportional to 225,819 and 349,852 is: 542,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819 : 349,852 = 349,852 : x
  2. Step 2: Convert to fraction form
    225,819/349,852 = 349,852/x
  3. Step 3: Cross multiply
    225,819x = 349,852 × 349,852
  4. Step 4: Simplify right side
    225,819x = 122,396,421,904
  5. Step 5: Solve for x
    x = 122,396,421,904/225,819
  6. Step 6: Final answer
    x = 542,011.18

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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.