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Finding the Third Proportional to 137,027 and 298,889

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Solution

The third proportional to 137,027 and 298,889 is: 651,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027 : 298,889 = 298,889 : x
  2. Step 2: Convert to fraction form
    137,027/298,889 = 298,889/x
  3. Step 3: Cross multiply
    137,027x = 298,889 × 298,889
  4. Step 4: Simplify right side
    137,027x = 89,334,634,321
  5. Step 5: Solve for x
    x = 89,334,634,321/137,027
  6. Step 6: Final answer
    x = 651,949.14

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Why These Related Problems?

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