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Finding the Third Proportional to 205,371 and 449,391.75

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Solution

The third proportional to 205,371 and 449,391.75 is: 983,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,371 : 449,391.75 = 449,391.75 : x
  2. Step 2: Convert to fraction form
    205,371/449,391.75 = 449,391.75/x
  3. Step 3: Cross multiply
    205,371x = 449,391.75 × 449,391.75
  4. Step 4: Simplify right side
    205,371x = 201,952,944,968.06
  5. Step 5: Solve for x
    x = 201,952,944,968.06/205,371
  6. Step 6: Final answer
    x = 983,356.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.