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Finding the Third Proportional to 233,678 and 350,121

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Solution

The third proportional to 233,678 and 350,121 is: 524,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,678 : 350,121 = 350,121 : x
  2. Step 2: Convert to fraction form
    233,678/350,121 = 350,121/x
  3. Step 3: Cross multiply
    233,678x = 350,121 × 350,121
  4. Step 4: Simplify right side
    233,678x = 122,584,714,641
  5. Step 5: Solve for x
    x = 122,584,714,641/233,678
  6. Step 6: Final answer
    x = 524,588.17

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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.