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Finding the Third Proportional to 141,240 and 197,948

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Solution

The third proportional to 141,240 and 197,948 is: 277,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,240 : 197,948 = 197,948 : x
  2. Step 2: Convert to fraction form
    141,240/197,948 = 197,948/x
  3. Step 3: Cross multiply
    141,240x = 197,948 × 197,948
  4. Step 4: Simplify right side
    141,240x = 39,183,410,704
  5. Step 5: Solve for x
    x = 39,183,410,704/141,240
  6. Step 6: Final answer
    x = 277,424.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.