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Finding the Third Proportional to 194,286 and 418,097

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Solution

The third proportional to 194,286 and 418,097 is: 899,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,286 : 418,097 = 418,097 : x
  2. Step 2: Convert to fraction form
    194,286/418,097 = 418,097/x
  3. Step 3: Cross multiply
    194,286x = 418,097 × 418,097
  4. Step 4: Simplify right side
    194,286x = 174,805,101,409
  5. Step 5: Solve for x
    x = 174,805,101,409/194,286
  6. Step 6: Final answer
    x = 899,730.82

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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.