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Finding the Third Proportional to 150,850.13 and 207,796.50

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Solution

The third proportional to 150,850.13 and 207,796.50 is: 286,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850.13 : 207,796.50 = 207,796.50 : x
  2. Step 2: Convert to fraction form
    150,850.13/207,796.50 = 207,796.50/x
  3. Step 3: Cross multiply
    150,850.13x = 207,796.50 × 207,796.50
  4. Step 4: Simplify right side
    150,850.13x = 43,179,385,412.25
  5. Step 5: Solve for x
    x = 43,179,385,412.25/150,850.13
  6. Step 6: Final answer
    x = 286,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.