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Finding the Third Proportional to 141,294 and 198,023

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Solution

The third proportional to 141,294 and 198,023 is: 277,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,294 : 198,023 = 198,023 : x
  2. Step 2: Convert to fraction form
    141,294/198,023 = 198,023/x
  3. Step 3: Cross multiply
    141,294x = 198,023 × 198,023
  4. Step 4: Simplify right side
    141,294x = 39,213,108,529
  5. Step 5: Solve for x
    x = 39,213,108,529/141,294
  6. Step 6: Final answer
    x = 277,528.48

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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.