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Finding the Third Proportional to 137,773 and 210,734

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Solution

The third proportional to 137,773 and 210,734 is: 322,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,773 : 210,734 = 210,734 : x
  2. Step 2: Convert to fraction form
    137,773/210,734 = 210,734/x
  3. Step 3: Cross multiply
    137,773x = 210,734 × 210,734
  4. Step 4: Simplify right side
    137,773x = 44,408,818,756
  5. Step 5: Solve for x
    x = 44,408,818,756/137,773
  6. Step 6: Final answer
    x = 322,333.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.