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Finding the Third Proportional to 170,298 and 370,134

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Solution

The third proportional to 170,298 and 370,134 is: 804,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,298 : 370,134 = 370,134 : x
  2. Step 2: Convert to fraction form
    170,298/370,134 = 370,134/x
  3. Step 3: Cross multiply
    170,298x = 370,134 × 370,134
  4. Step 4: Simplify right side
    170,298x = 136,999,177,956
  5. Step 5: Solve for x
    x = 136,999,177,956/170,298
  6. Step 6: Final answer
    x = 804,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.