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Finding the Third Proportional to 233,672 and 350,110

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Solution

The third proportional to 233,672 and 350,110 is: 524,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,672 : 350,110 = 350,110 : x
  2. Step 2: Convert to fraction form
    233,672/350,110 = 350,110/x
  3. Step 3: Cross multiply
    233,672x = 350,110 × 350,110
  4. Step 4: Simplify right side
    233,672x = 122,577,012,100
  5. Step 5: Solve for x
    x = 122,577,012,100/233,672
  6. Step 6: Final answer
    x = 524,568.68

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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.