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Finding the Third Proportional to 137,967 and 295,881

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Solution

The third proportional to 137,967 and 295,881 is: 634,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967 : 295,881 = 295,881 : x
  2. Step 2: Convert to fraction form
    137,967/295,881 = 295,881/x
  3. Step 3: Cross multiply
    137,967x = 295,881 × 295,881
  4. Step 4: Simplify right side
    137,967x = 87,545,566,161
  5. Step 5: Solve for x
    x = 87,545,566,161/137,967
  6. Step 6: Final answer
    x = 634,539.90

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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.