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Finding the Third Proportional to 150,805.69 and 235,108.13

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Solution

The third proportional to 150,805.69 and 235,108.13 is: 366,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,805.69 : 235,108.13 = 235,108.13 : x
  2. Step 2: Convert to fraction form
    150,805.69/235,108.13 = 235,108.13/x
  3. Step 3: Cross multiply
    150,805.69x = 235,108.13 × 235,108.13
  4. Step 4: Simplify right side
    150,805.69x = 55,275,830,441.02
  5. Step 5: Solve for x
    x = 55,275,830,441.02/150,805.69
  6. Step 6: Final answer
    x = 366,536.78

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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.