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Finding the Third Proportional to 169,150 and 367,460

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Solution

The third proportional to 169,150 and 367,460 is: 798,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,150 : 367,460 = 367,460 : x
  2. Step 2: Convert to fraction form
    169,150/367,460 = 367,460/x
  3. Step 3: Cross multiply
    169,150x = 367,460 × 367,460
  4. Step 4: Simplify right side
    169,150x = 135,026,851,600
  5. Step 5: Solve for x
    x = 135,026,851,600/169,150
  6. Step 6: Final answer
    x = 798,266.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.