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Finding the Third Proportional to 194,645 and 418,389

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Solution

The third proportional to 194,645 and 418,389 is: 899,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,645 : 418,389 = 418,389 : x
  2. Step 2: Convert to fraction form
    194,645/418,389 = 418,389/x
  3. Step 3: Cross multiply
    194,645x = 418,389 × 418,389
  4. Step 4: Simplify right side
    194,645x = 175,049,355,321
  5. Step 5: Solve for x
    x = 175,049,355,321/194,645
  6. Step 6: Final answer
    x = 899,326.24

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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.