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Finding the Third Proportional to 168,707 and 254,803

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Solution

The third proportional to 168,707 and 254,803 is: 384,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,707 : 254,803 = 254,803 : x
  2. Step 2: Convert to fraction form
    168,707/254,803 = 254,803/x
  3. Step 3: Cross multiply
    168,707x = 254,803 × 254,803
  4. Step 4: Simplify right side
    168,707x = 64,924,568,809
  5. Step 5: Solve for x
    x = 64,924,568,809/168,707
  6. Step 6: Final answer
    x = 384,836.25

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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.