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Finding the Third Proportional to 141,297 and 198,025

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Solution

The third proportional to 141,297 and 198,025 is: 277,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,297 : 198,025 = 198,025 : x
  2. Step 2: Convert to fraction form
    141,297/198,025 = 198,025/x
  3. Step 3: Cross multiply
    141,297x = 198,025 × 198,025
  4. Step 4: Simplify right side
    141,297x = 39,213,900,625
  5. Step 5: Solve for x
    x = 39,213,900,625/141,297
  6. Step 6: Final answer
    x = 277,528.19

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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.