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Finding the Third Proportional to 168,066 and 354,492

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Solution

The third proportional to 168,066 and 354,492 is: 747,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,066 : 354,492 = 354,492 : x
  2. Step 2: Convert to fraction form
    168,066/354,492 = 354,492/x
  3. Step 3: Cross multiply
    168,066x = 354,492 × 354,492
  4. Step 4: Simplify right side
    168,066x = 125,664,578,064
  5. Step 5: Solve for x
    x = 125,664,578,064/168,066
  6. Step 6: Final answer
    x = 747,709.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.