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Finding the Third Proportional to 194,106 and 411,539

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Solution

The third proportional to 194,106 and 411,539 is: 872,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,106 : 411,539 = 411,539 : x
  2. Step 2: Convert to fraction form
    194,106/411,539 = 411,539/x
  3. Step 3: Cross multiply
    194,106x = 411,539 × 411,539
  4. Step 4: Simplify right side
    194,106x = 169,364,348,521
  5. Step 5: Solve for x
    x = 169,364,348,521/194,106
  6. Step 6: Final answer
    x = 872,535.36

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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.