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Finding the Third Proportional to 137,979 and 295,650

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Solution

The third proportional to 137,979 and 295,650 is: 633,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,979 : 295,650 = 295,650 : x
  2. Step 2: Convert to fraction form
    137,979/295,650 = 295,650/x
  3. Step 3: Cross multiply
    137,979x = 295,650 × 295,650
  4. Step 4: Simplify right side
    137,979x = 87,408,922,500
  5. Step 5: Solve for x
    x = 87,408,922,500/137,979
  6. Step 6: Final answer
    x = 633,494.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.