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Finding the Third Proportional to 160,621 and 235,171

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Solution

The third proportional to 160,621 and 235,171 is: 344,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,621 : 235,171 = 235,171 : x
  2. Step 2: Convert to fraction form
    160,621/235,171 = 235,171/x
  3. Step 3: Cross multiply
    160,621x = 235,171 × 235,171
  4. Step 4: Simplify right side
    160,621x = 55,305,399,241
  5. Step 5: Solve for x
    x = 55,305,399,241/160,621
  6. Step 6: Final answer
    x = 344,322.34

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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.