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Finding the Third Proportional to 194,081 and 424,368

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Solution

The third proportional to 194,081 and 424,368 is: 927,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,081 : 424,368 = 424,368 : x
  2. Step 2: Convert to fraction form
    194,081/424,368 = 424,368/x
  3. Step 3: Cross multiply
    194,081x = 424,368 × 424,368
  4. Step 4: Simplify right side
    194,081x = 180,088,199,424
  5. Step 5: Solve for x
    x = 180,088,199,424/194,081
  6. Step 6: Final answer
    x = 927,902.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.