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Finding the Third Proportional to 193,488 and 298,988

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Solution

The third proportional to 193,488 and 298,988 is: 462,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,488 : 298,988 = 298,988 : x
  2. Step 2: Convert to fraction form
    193,488/298,988 = 298,988/x
  3. Step 3: Cross multiply
    193,488x = 298,988 × 298,988
  4. Step 4: Simplify right side
    193,488x = 89,393,824,144
  5. Step 5: Solve for x
    x = 89,393,824,144/193,488
  6. Step 6: Final answer
    x = 462,012.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.