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Finding the Third Proportional to 194,108 and 411,544

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Solution

The third proportional to 194,108 and 411,544 is: 872,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,108 : 411,544 = 411,544 : x
  2. Step 2: Convert to fraction form
    194,108/411,544 = 411,544/x
  3. Step 3: Cross multiply
    194,108x = 411,544 × 411,544
  4. Step 4: Simplify right side
    194,108x = 169,368,463,936
  5. Step 5: Solve for x
    x = 169,368,463,936/194,108
  6. Step 6: Final answer
    x = 872,547.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.