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Finding the Third Proportional to 168,701 and 254,795

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Solution

The third proportional to 168,701 and 254,795 is: 384,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,701 : 254,795 = 254,795 : x
  2. Step 2: Convert to fraction form
    168,701/254,795 = 254,795/x
  3. Step 3: Cross multiply
    168,701x = 254,795 × 254,795
  4. Step 4: Simplify right side
    168,701x = 64,920,492,025
  5. Step 5: Solve for x
    x = 64,920,492,025/168,701
  6. Step 6: Final answer
    x = 384,825.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.