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Finding the Third Proportional to 141,290 and 198,031

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Solution

The third proportional to 141,290 and 198,031 is: 277,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,290 : 198,031 = 198,031 : x
  2. Step 2: Convert to fraction form
    141,290/198,031 = 198,031/x
  3. Step 3: Cross multiply
    141,290x = 198,031 × 198,031
  4. Step 4: Simplify right side
    141,290x = 39,216,276,961
  5. Step 5: Solve for x
    x = 39,216,276,961/141,290
  6. Step 6: Final answer
    x = 277,558.76

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