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Finding the Third Proportional to 194,053 and 311,581

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Solution

The third proportional to 194,053 and 311,581 is: 500,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,053 : 311,581 = 311,581 : x
  2. Step 2: Convert to fraction form
    194,053/311,581 = 311,581/x
  3. Step 3: Cross multiply
    194,053x = 311,581 × 311,581
  4. Step 4: Simplify right side
    194,053x = 97,082,719,561
  5. Step 5: Solve for x
    x = 97,082,719,561/194,053
  6. Step 6: Final answer
    x = 500,289.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.