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Finding the Third Proportional to 169,760 and 367,084

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Solution

The third proportional to 169,760 and 367,084 is: 793,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,760 : 367,084 = 367,084 : x
  2. Step 2: Convert to fraction form
    169,760/367,084 = 367,084/x
  3. Step 3: Cross multiply
    169,760x = 367,084 × 367,084
  4. Step 4: Simplify right side
    169,760x = 134,750,663,056
  5. Step 5: Solve for x
    x = 134,750,663,056/169,760
  6. Step 6: Final answer
    x = 793,771.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.