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Finding the Third Proportional to 170,269 and 358,183

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Solution

The third proportional to 170,269 and 358,183 is: 753,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,269 : 358,183 = 358,183 : x
  2. Step 2: Convert to fraction form
    170,269/358,183 = 358,183/x
  3. Step 3: Cross multiply
    170,269x = 358,183 × 358,183
  4. Step 4: Simplify right side
    170,269x = 128,295,061,489
  5. Step 5: Solve for x
    x = 128,295,061,489/170,269
  6. Step 6: Final answer
    x = 753,484.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.