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Finding the Third Proportional to 158,881 and 349,747

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Solution

The third proportional to 158,881 and 349,747 is: 769,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,881 : 349,747 = 349,747 : x
  2. Step 2: Convert to fraction form
    158,881/349,747 = 349,747/x
  3. Step 3: Cross multiply
    158,881x = 349,747 × 349,747
  4. Step 4: Simplify right side
    158,881x = 122,322,964,009
  5. Step 5: Solve for x
    x = 122,322,964,009/158,881
  6. Step 6: Final answer
    x = 769,903.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.