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Finding the Third Proportional to 194,610 and 289,119

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Solution

The third proportional to 194,610 and 289,119 is: 429,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,610 : 289,119 = 289,119 : x
  2. Step 2: Convert to fraction form
    194,610/289,119 = 289,119/x
  3. Step 3: Cross multiply
    194,610x = 289,119 × 289,119
  4. Step 4: Simplify right side
    194,610x = 83,589,796,161
  5. Step 5: Solve for x
    x = 83,589,796,161/194,610
  6. Step 6: Final answer
    x = 429,524.67

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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.