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Finding the Third Proportional to 233,664.75 and 350,104.50

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Solution

The third proportional to 233,664.75 and 350,104.50 is: 524,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,664.75 : 350,104.50 = 350,104.50 : x
  2. Step 2: Convert to fraction form
    233,664.75/350,104.50 = 350,104.50/x
  3. Step 3: Cross multiply
    233,664.75x = 350,104.50 × 350,104.50
  4. Step 4: Simplify right side
    233,664.75x = 122,573,160,920.25
  5. Step 5: Solve for x
    x = 122,573,160,920.25/233,664.75
  6. Step 6: Final answer
    x = 524,568.47

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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.