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Finding the Third Proportional to 141,226 and 197,926

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Solution

The third proportional to 141,226 and 197,926 is: 277,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,226 : 197,926 = 197,926 : x
  2. Step 2: Convert to fraction form
    141,226/197,926 = 197,926/x
  3. Step 3: Cross multiply
    141,226x = 197,926 × 197,926
  4. Step 4: Simplify right side
    141,226x = 39,174,701,476
  5. Step 5: Solve for x
    x = 39,174,701,476/141,226
  6. Step 6: Final answer
    x = 277,390.15

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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.