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Finding the Third Proportional to 233,694 and 350,145

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Solution

The third proportional to 233,694 and 350,145 is: 524,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,694 : 350,145 = 350,145 : x
  2. Step 2: Convert to fraction form
    233,694/350,145 = 350,145/x
  3. Step 3: Cross multiply
    233,694x = 350,145 × 350,145
  4. Step 4: Simplify right side
    233,694x = 122,601,521,025
  5. Step 5: Solve for x
    x = 122,601,521,025/233,694
  6. Step 6: Final answer
    x = 524,624.17

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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.