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Finding the Third Proportional to 194,398 and 299,894

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Solution

The third proportional to 194,398 and 299,894 is: 462,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,398 : 299,894 = 299,894 : x
  2. Step 2: Convert to fraction form
    194,398/299,894 = 299,894/x
  3. Step 3: Cross multiply
    194,398x = 299,894 × 299,894
  4. Step 4: Simplify right side
    194,398x = 89,936,411,236
  5. Step 5: Solve for x
    x = 89,936,411,236/194,398
  6. Step 6: Final answer
    x = 462,640.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.