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Finding the Third Proportional to 233,489 and 350,233.50

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Solution

The third proportional to 233,489 and 350,233.50 is: 525,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,489 : 350,233.50 = 350,233.50 : x
  2. Step 2: Convert to fraction form
    233,489/350,233.50 = 350,233.50/x
  3. Step 3: Cross multiply
    233,489x = 350,233.50 × 350,233.50
  4. Step 4: Simplify right side
    233,489x = 122,663,504,522.25
  5. Step 5: Solve for x
    x = 122,663,504,522.25/233,489
  6. Step 6: Final answer
    x = 525,350.25

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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.