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Finding the Third Proportional to 194,848 and 399,354

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Solution

The third proportional to 194,848 and 399,354 is: 818,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,848 : 399,354 = 399,354 : x
  2. Step 2: Convert to fraction form
    194,848/399,354 = 399,354/x
  3. Step 3: Cross multiply
    194,848x = 399,354 × 399,354
  4. Step 4: Simplify right side
    194,848x = 159,483,617,316
  5. Step 5: Solve for x
    x = 159,483,617,316/194,848
  6. Step 6: Final answer
    x = 818,502.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.