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Finding the Third Proportional to 149,505.75 and 218,062.13

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Solution

The third proportional to 149,505.75 and 218,062.13 is: 318,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,505.75 : 218,062.13 = 218,062.13 : x
  2. Step 2: Convert to fraction form
    149,505.75/218,062.13 = 218,062.13/x
  3. Step 3: Cross multiply
    149,505.75x = 218,062.13 × 218,062.13
  4. Step 4: Simplify right side
    149,505.75x = 47,551,090,359.52
  5. Step 5: Solve for x
    x = 47,551,090,359.52/149,505.75
  6. Step 6: Final answer
    x = 318,055.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.