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Finding the Third Proportional to 193,338 and 424,764

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Solution

The third proportional to 193,338 and 424,764 is: 933,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,338 : 424,764 = 424,764 : x
  2. Step 2: Convert to fraction form
    193,338/424,764 = 424,764/x
  3. Step 3: Cross multiply
    193,338x = 424,764 × 424,764
  4. Step 4: Simplify right side
    193,338x = 180,424,455,696
  5. Step 5: Solve for x
    x = 180,424,455,696/193,338
  6. Step 6: Final answer
    x = 933,207.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.