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Finding the Third Proportional to 141,314 and 198,056

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Solution

The third proportional to 141,314 and 198,056 is: 277,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,314 : 198,056 = 198,056 : x
  2. Step 2: Convert to fraction form
    141,314/198,056 = 198,056/x
  3. Step 3: Cross multiply
    141,314x = 198,056 × 198,056
  4. Step 4: Simplify right side
    141,314x = 39,226,179,136
  5. Step 5: Solve for x
    x = 39,226,179,136/141,314
  6. Step 6: Final answer
    x = 277,581.69

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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.