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Finding the Third Proportional to 170,464 and 367,091

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Solution

The third proportional to 170,464 and 367,091 is: 790,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,464 : 367,091 = 367,091 : x
  2. Step 2: Convert to fraction form
    170,464/367,091 = 367,091/x
  3. Step 3: Cross multiply
    170,464x = 367,091 × 367,091
  4. Step 4: Simplify right side
    170,464x = 134,755,802,281
  5. Step 5: Solve for x
    x = 134,755,802,281/170,464
  6. Step 6: Final answer
    x = 790,523.53

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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.