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Finding the Third Proportional to 194,690 and 418,468

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Solution

The third proportional to 194,690 and 418,468 is: 899,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,690 : 418,468 = 418,468 : x
  2. Step 2: Convert to fraction form
    194,690/418,468 = 418,468/x
  3. Step 3: Cross multiply
    194,690x = 418,468 × 418,468
  4. Step 4: Simplify right side
    194,690x = 175,115,467,024
  5. Step 5: Solve for x
    x = 175,115,467,024/194,690
  6. Step 6: Final answer
    x = 899,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.