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Finding the Third Proportional to 169,890 and 254,783

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Solution

The third proportional to 169,890 and 254,783 is: 382,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,890 : 254,783 = 254,783 : x
  2. Step 2: Convert to fraction form
    169,890/254,783 = 254,783/x
  3. Step 3: Cross multiply
    169,890x = 254,783 × 254,783
  4. Step 4: Simplify right side
    169,890x = 64,914,377,089
  5. Step 5: Solve for x
    x = 64,914,377,089/169,890
  6. Step 6: Final answer
    x = 382,096.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.