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Finding the Third Proportional to 233,697 and 350,149.50

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Solution

The third proportional to 233,697 and 350,149.50 is: 524,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,697 : 350,149.50 = 350,149.50 : x
  2. Step 2: Convert to fraction form
    233,697/350,149.50 = 350,149.50/x
  3. Step 3: Cross multiply
    233,697x = 350,149.50 × 350,149.50
  4. Step 4: Simplify right side
    233,697x = 122,604,672,350.25
  5. Step 5: Solve for x
    x = 122,604,672,350.25/233,697
  6. Step 6: Final answer
    x = 524,630.92

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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.