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Finding the Third Proportional to 158,930 and 336,814

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Solution

The third proportional to 158,930 and 336,814 is: 713,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,930 : 336,814 = 336,814 : x
  2. Step 2: Convert to fraction form
    158,930/336,814 = 336,814/x
  3. Step 3: Cross multiply
    158,930x = 336,814 × 336,814
  4. Step 4: Simplify right side
    158,930x = 113,443,670,596
  5. Step 5: Solve for x
    x = 113,443,670,596/158,930
  6. Step 6: Final answer
    x = 713,796.46

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