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Finding the Third Proportional to 233,666 and 350,108

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Solution

The third proportional to 233,666 and 350,108 is: 524,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,666 : 350,108 = 350,108 : x
  2. Step 2: Convert to fraction form
    233,666/350,108 = 350,108/x
  3. Step 3: Cross multiply
    233,666x = 350,108 × 350,108
  4. Step 4: Simplify right side
    233,666x = 122,575,611,664
  5. Step 5: Solve for x
    x = 122,575,611,664/233,666
  6. Step 6: Final answer
    x = 524,576.15

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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.