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Finding the Third Proportional to 170,434 and 367,032

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Solution

The third proportional to 170,434 and 367,032 is: 790,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,434 : 367,032 = 367,032 : x
  2. Step 2: Convert to fraction form
    170,434/367,032 = 367,032/x
  3. Step 3: Cross multiply
    170,434x = 367,032 × 367,032
  4. Step 4: Simplify right side
    170,434x = 134,712,489,024
  5. Step 5: Solve for x
    x = 134,712,489,024/170,434
  6. Step 6: Final answer
    x = 790,408.54

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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.