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Finding the Third Proportional to 141,283 and 198,007

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Solution

The third proportional to 141,283 and 198,007 is: 277,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,283 : 198,007 = 198,007 : x
  2. Step 2: Convert to fraction form
    141,283/198,007 = 198,007/x
  3. Step 3: Cross multiply
    141,283x = 198,007 × 198,007
  4. Step 4: Simplify right side
    141,283x = 39,206,772,049
  5. Step 5: Solve for x
    x = 39,206,772,049/141,283
  6. Step 6: Final answer
    x = 277,505.23

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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.