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Finding the Third Proportional to 141,237 and 197,943

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Solution

The third proportional to 141,237 and 197,943 is: 277,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,237 : 197,943 = 197,943 : x
  2. Step 2: Convert to fraction form
    141,237/197,943 = 197,943/x
  3. Step 3: Cross multiply
    141,237x = 197,943 × 197,943
  4. Step 4: Simplify right side
    141,237x = 39,181,431,249
  5. Step 5: Solve for x
    x = 39,181,431,249/141,237
  6. Step 6: Final answer
    x = 277,416.20

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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.