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Finding the Third Proportional to 194,092 and 424,168

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Solution

The third proportional to 194,092 and 424,168 is: 926,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,092 : 424,168 = 424,168 : x
  2. Step 2: Convert to fraction form
    194,092/424,168 = 424,168/x
  3. Step 3: Cross multiply
    194,092x = 424,168 × 424,168
  4. Step 4: Simplify right side
    194,092x = 179,918,492,224
  5. Step 5: Solve for x
    x = 179,918,492,224/194,092
  6. Step 6: Final answer
    x = 926,975.31

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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.