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Finding the Third Proportional to 170,436 and 367,035

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Solution

The third proportional to 170,436 and 367,035 is: 790,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,436 : 367,035 = 367,035 : x
  2. Step 2: Convert to fraction form
    170,436/367,035 = 367,035/x
  3. Step 3: Cross multiply
    170,436x = 367,035 × 367,035
  4. Step 4: Simplify right side
    170,436x = 134,714,691,225
  5. Step 5: Solve for x
    x = 134,714,691,225/170,436
  6. Step 6: Final answer
    x = 790,412.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.