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Finding the Third Proportional to 169,417 and 225,858

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Solution

The third proportional to 169,417 and 225,858 is: 301,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,417 : 225,858 = 225,858 : x
  2. Step 2: Convert to fraction form
    169,417/225,858 = 225,858/x
  3. Step 3: Cross multiply
    169,417x = 225,858 × 225,858
  4. Step 4: Simplify right side
    169,417x = 51,011,836,164
  5. Step 5: Solve for x
    x = 51,011,836,164/169,417
  6. Step 6: Final answer
    x = 301,102.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.