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Finding the Third Proportional to 141,792 and 198,264

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Solution

The third proportional to 141,792 and 198,264 is: 277,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,792 : 198,264 = 198,264 : x
  2. Step 2: Convert to fraction form
    141,792/198,264 = 198,264/x
  3. Step 3: Cross multiply
    141,792x = 198,264 × 198,264
  4. Step 4: Simplify right side
    141,792x = 39,308,613,696
  5. Step 5: Solve for x
    x = 39,308,613,696/141,792
  6. Step 6: Final answer
    x = 277,227.30

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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.