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Finding the Third Proportional to 194,967 and 421,038

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Solution

The third proportional to 194,967 and 421,038 is: 909,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967 : 421,038 = 421,038 : x
  2. Step 2: Convert to fraction form
    194,967/421,038 = 421,038/x
  3. Step 3: Cross multiply
    194,967x = 421,038 × 421,038
  4. Step 4: Simplify right side
    194,967x = 177,272,997,444
  5. Step 5: Solve for x
    x = 177,272,997,444/194,967
  6. Step 6: Final answer
    x = 909,246.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.