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Finding the Third Proportional to 205,068 and 439,296

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Solution

The third proportional to 205,068 and 439,296 is: 941,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,068 : 439,296 = 439,296 : x
  2. Step 2: Convert to fraction form
    205,068/439,296 = 439,296/x
  3. Step 3: Cross multiply
    205,068x = 439,296 × 439,296
  4. Step 4: Simplify right side
    205,068x = 192,980,975,616
  5. Step 5: Solve for x
    x = 192,980,975,616/205,068
  6. Step 6: Final answer
    x = 941,058.46

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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.