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Finding the Third Proportional to 138,515 and 298,900

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Solution

The third proportional to 138,515 and 298,900 is: 644,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,515 : 298,900 = 298,900 : x
  2. Step 2: Convert to fraction form
    138,515/298,900 = 298,900/x
  3. Step 3: Cross multiply
    138,515x = 298,900 × 298,900
  4. Step 4: Simplify right side
    138,515x = 89,341,210,000
  5. Step 5: Solve for x
    x = 89,341,210,000/138,515
  6. Step 6: Final answer
    x = 644,993.03

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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.