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Finding the Third Proportional to 149,543.44 and 229,859.02

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Solution

The third proportional to 149,543.44 and 229,859.02 is: 353,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.44 : 229,859.02 = 229,859.02 : x
  2. Step 2: Convert to fraction form
    149,543.44/229,859.02 = 229,859.02/x
  3. Step 3: Cross multiply
    149,543.44x = 229,859.02 × 229,859.02
  4. Step 4: Simplify right side
    149,543.44x = 52,835,167,064.09
  5. Step 5: Solve for x
    x = 52,835,167,064.09/149,543.44
  6. Step 6: Final answer
    x = 353,309.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.