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Finding the Third Proportional to 172,086 and 369,084

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Solution

The third proportional to 172,086 and 369,084 is: 791,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,086 : 369,084 = 369,084 : x
  2. Step 2: Convert to fraction form
    172,086/369,084 = 369,084/x
  3. Step 3: Cross multiply
    172,086x = 369,084 × 369,084
  4. Step 4: Simplify right side
    172,086x = 136,222,999,056
  5. Step 5: Solve for x
    x = 136,222,999,056/172,086
  6. Step 6: Final answer
    x = 791,598.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.