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Finding the Third Proportional to 170,809 and 254,833

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Solution

The third proportional to 170,809 and 254,833 is: 380,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,809 : 254,833 = 254,833 : x
  2. Step 2: Convert to fraction form
    170,809/254,833 = 254,833/x
  3. Step 3: Cross multiply
    170,809x = 254,833 × 254,833
  4. Step 4: Simplify right side
    170,809x = 64,939,857,889
  5. Step 5: Solve for x
    x = 64,939,857,889/170,809
  6. Step 6: Final answer
    x = 380,189.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.