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Finding the Third Proportional to 204,569.50 and 437,570

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Solution

The third proportional to 204,569.50 and 437,570 is: 935,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,569.50 : 437,570 = 437,570 : x
  2. Step 2: Convert to fraction form
    204,569.50/437,570 = 437,570/x
  3. Step 3: Cross multiply
    204,569.50x = 437,570 × 437,570
  4. Step 4: Simplify right side
    204,569.50x = 191,467,504,900
  5. Step 5: Solve for x
    x = 191,467,504,900/204,569.50
  6. Step 6: Final answer
    x = 935,953.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.