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Finding the Third Proportional to 80,298 and 170,235

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Solution

The third proportional to 80,298 and 170,235 is: 360,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,298 : 170,235 = 170,235 : x
  2. Step 2: Convert to fraction form
    80,298/170,235 = 170,235/x
  3. Step 3: Cross multiply
    80,298x = 170,235 × 170,235
  4. Step 4: Simplify right side
    80,298x = 28,979,955,225
  5. Step 5: Solve for x
    x = 28,979,955,225/80,298
  6. Step 6: Final answer
    x = 360,905.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.