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Finding the Third Proportional to 137,444 and 298,212

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Solution

The third proportional to 137,444 and 298,212 is: 647,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,444 : 298,212 = 298,212 : x
  2. Step 2: Convert to fraction form
    137,444/298,212 = 298,212/x
  3. Step 3: Cross multiply
    137,444x = 298,212 × 298,212
  4. Step 4: Simplify right side
    137,444x = 88,930,396,944
  5. Step 5: Solve for x
    x = 88,930,396,944/137,444
  6. Step 6: Final answer
    x = 647,030.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.