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Finding the Third Proportional to 158,989 and 336,383

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Solution

The third proportional to 158,989 and 336,383 is: 711,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,989 : 336,383 = 336,383 : x
  2. Step 2: Convert to fraction form
    158,989/336,383 = 336,383/x
  3. Step 3: Cross multiply
    158,989x = 336,383 × 336,383
  4. Step 4: Simplify right side
    158,989x = 113,153,522,689
  5. Step 5: Solve for x
    x = 113,153,522,689/158,989
  6. Step 6: Final answer
    x = 711,706.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.