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Finding the Third Proportional to 141,922 and 197,330

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Solution

The third proportional to 141,922 and 197,330 is: 274,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,922 : 197,330 = 197,330 : x
  2. Step 2: Convert to fraction form
    141,922/197,330 = 197,330/x
  3. Step 3: Cross multiply
    141,922x = 197,330 × 197,330
  4. Step 4: Simplify right side
    141,922x = 38,939,128,900
  5. Step 5: Solve for x
    x = 38,939,128,900/141,922
  6. Step 6: Final answer
    x = 274,369.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.