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Finding the Third Proportional to 141,321 and 198,066

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Solution

The third proportional to 141,321 and 198,066 is: 277,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321 : 198,066 = 198,066 : x
  2. Step 2: Convert to fraction form
    141,321/198,066 = 198,066/x
  3. Step 3: Cross multiply
    141,321x = 198,066 × 198,066
  4. Step 4: Simplify right side
    141,321x = 39,230,140,356
  5. Step 5: Solve for x
    x = 39,230,140,356/141,321
  6. Step 6: Final answer
    x = 277,595.97

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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.