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Finding the Third Proportional to 137,021 and 298,942.25

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Solution

The third proportional to 137,021 and 298,942.25 is: 652,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,021 : 298,942.25 = 298,942.25 : x
  2. Step 2: Convert to fraction form
    137,021/298,942.25 = 298,942.25/x
  3. Step 3: Cross multiply
    137,021x = 298,942.25 × 298,942.25
  4. Step 4: Simplify right side
    137,021x = 89,366,468,835.06
  5. Step 5: Solve for x
    x = 89,366,468,835.06/137,021
  6. Step 6: Final answer
    x = 652,210.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.