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Finding the Third Proportional to 194,050 and 289,881

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Solution

The third proportional to 194,050 and 289,881 is: 433,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,050 : 289,881 = 289,881 : x
  2. Step 2: Convert to fraction form
    194,050/289,881 = 289,881/x
  3. Step 3: Cross multiply
    194,050x = 289,881 × 289,881
  4. Step 4: Simplify right side
    194,050x = 84,030,994,161
  5. Step 5: Solve for x
    x = 84,030,994,161/194,050
  6. Step 6: Final answer
    x = 433,037.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.