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Finding the Third Proportional to 194,084 and 424,374

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Solution

The third proportional to 194,084 and 424,374 is: 927,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,084 : 424,374 = 424,374 : x
  2. Step 2: Convert to fraction form
    194,084/424,374 = 424,374/x
  3. Step 3: Cross multiply
    194,084x = 424,374 × 424,374
  4. Step 4: Simplify right side
    194,084x = 180,093,291,876
  5. Step 5: Solve for x
    x = 180,093,291,876/194,084
  6. Step 6: Final answer
    x = 927,914.16

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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.