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Finding the Third Proportional to 233,705 and 350,161

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Solution

The third proportional to 233,705 and 350,161 is: 524,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,705 : 350,161 = 350,161 : x
  2. Step 2: Convert to fraction form
    233,705/350,161 = 350,161/x
  3. Step 3: Cross multiply
    233,705x = 350,161 × 350,161
  4. Step 4: Simplify right side
    233,705x = 122,612,725,921
  5. Step 5: Solve for x
    x = 122,612,725,921/233,705
  6. Step 6: Final answer
    x = 524,647.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.