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Finding the Third Proportional to 158,036 and 230,814

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Solution

The third proportional to 158,036 and 230,814 is: 337,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,036 : 230,814 = 230,814 : x
  2. Step 2: Convert to fraction form
    158,036/230,814 = 230,814/x
  3. Step 3: Cross multiply
    158,036x = 230,814 × 230,814
  4. Step 4: Simplify right side
    158,036x = 53,275,102,596
  5. Step 5: Solve for x
    x = 53,275,102,596/158,036
  6. Step 6: Final answer
    x = 337,107.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.