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Finding the Third Proportional to 158,972 and 345,555

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Solution

The third proportional to 158,972 and 345,555 is: 751,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,972 : 345,555 = 345,555 : x
  2. Step 2: Convert to fraction form
    158,972/345,555 = 345,555/x
  3. Step 3: Cross multiply
    158,972x = 345,555 × 345,555
  4. Step 4: Simplify right side
    158,972x = 119,408,258,025
  5. Step 5: Solve for x
    x = 119,408,258,025/158,972
  6. Step 6: Final answer
    x = 751,127.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.