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Finding the Third Proportional to 158,914 and 235,622

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Solution

The third proportional to 158,914 and 235,622 is: 349,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,914 : 235,622 = 235,622 : x
  2. Step 2: Convert to fraction form
    158,914/235,622 = 235,622/x
  3. Step 3: Cross multiply
    158,914x = 235,622 × 235,622
  4. Step 4: Simplify right side
    158,914x = 55,517,726,884
  5. Step 5: Solve for x
    x = 55,517,726,884/158,914
  6. Step 6: Final answer
    x = 349,357.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.