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Finding the Third Proportional to 150,315.75 and 233,786.25

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Solution

The third proportional to 150,315.75 and 233,786.25 is: 363,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,315.75 : 233,786.25 = 233,786.25 : x
  2. Step 2: Convert to fraction form
    150,315.75/233,786.25 = 233,786.25/x
  3. Step 3: Cross multiply
    150,315.75x = 233,786.25 × 233,786.25
  4. Step 4: Simplify right side
    150,315.75x = 54,656,010,689.06
  5. Step 5: Solve for x
    x = 54,656,010,689.06/150,315.75
  6. Step 6: Final answer
    x = 363,608.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.