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Finding the Third Proportional to 194,295.94 and 420,192.38

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Solution

The third proportional to 194,295.94 and 420,192.38 is: 908,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.94 : 420,192.38 = 420,192.38 : x
  2. Step 2: Convert to fraction form
    194,295.94/420,192.38 = 420,192.38/x
  3. Step 3: Cross multiply
    194,295.94x = 420,192.38 × 420,192.38
  4. Step 4: Simplify right side
    194,295.94x = 176,561,632,008.14
  5. Step 5: Solve for x
    x = 176,561,632,008.14/194,295.94
  6. Step 6: Final answer
    x = 908,725.29

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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.