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Finding the Third Proportional to 170,885 and 367,066

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Solution

The third proportional to 170,885 and 367,066 is: 788,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,885 : 367,066 = 367,066 : x
  2. Step 2: Convert to fraction form
    170,885/367,066 = 367,066/x
  3. Step 3: Cross multiply
    170,885x = 367,066 × 367,066
  4. Step 4: Simplify right side
    170,885x = 134,737,448,356
  5. Step 5: Solve for x
    x = 134,737,448,356/170,885
  6. Step 6: Final answer
    x = 788,468.55

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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.