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Finding the Third Proportional to 194,904 and 440,222

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Solution

The third proportional to 194,904 and 440,222 is: 994,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,904 : 440,222 = 440,222 : x
  2. Step 2: Convert to fraction form
    194,904/440,222 = 440,222/x
  3. Step 3: Cross multiply
    194,904x = 440,222 × 440,222
  4. Step 4: Simplify right side
    194,904x = 193,795,409,284
  5. Step 5: Solve for x
    x = 193,795,409,284/194,904
  6. Step 6: Final answer
    x = 994,312.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.