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Finding the Third Proportional to 138,056 and 298,684

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Solution

The third proportional to 138,056 and 298,684 is: 646,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056 : 298,684 = 298,684 : x
  2. Step 2: Convert to fraction form
    138,056/298,684 = 298,684/x
  3. Step 3: Cross multiply
    138,056x = 298,684 × 298,684
  4. Step 4: Simplify right side
    138,056x = 89,212,131,856
  5. Step 5: Solve for x
    x = 89,212,131,856/138,056
  6. Step 6: Final answer
    x = 646,202.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.