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Finding the Third Proportional to 203,725.13 and 438,645.38

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Solution

The third proportional to 203,725.13 and 438,645.38 is: 944,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,725.13 : 438,645.38 = 438,645.38 : x
  2. Step 2: Convert to fraction form
    203,725.13/438,645.38 = 438,645.38/x
  3. Step 3: Cross multiply
    203,725.13x = 438,645.38 × 438,645.38
  4. Step 4: Simplify right side
    203,725.13x = 192,409,765,008.89
  5. Step 5: Solve for x
    x = 192,409,765,008.89/203,725.13
  6. Step 6: Final answer
    x = 944,457.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.