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Finding the Third Proportional to 203,614.50 and 438,444

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Solution

The third proportional to 203,614.50 and 438,444 is: 944,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,614.50 : 438,444 = 438,444 : x
  2. Step 2: Convert to fraction form
    203,614.50/438,444 = 438,444/x
  3. Step 3: Cross multiply
    203,614.50x = 438,444 × 438,444
  4. Step 4: Simplify right side
    203,614.50x = 192,233,141,136
  5. Step 5: Solve for x
    x = 192,233,141,136/203,614.50
  6. Step 6: Final answer
    x = 944,103.40

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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.