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Finding the Third Proportional to 194,091.75 and 424,167.75

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Solution

The third proportional to 194,091.75 and 424,167.75 is: 926,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,091.75 : 424,167.75 = 424,167.75 : x
  2. Step 2: Convert to fraction form
    194,091.75/424,167.75 = 424,167.75/x
  3. Step 3: Cross multiply
    194,091.75x = 424,167.75 × 424,167.75
  4. Step 4: Simplify right side
    194,091.75x = 179,918,280,140.06
  5. Step 5: Solve for x
    x = 179,918,280,140.06/194,091.75
  6. Step 6: Final answer
    x = 926,975.41

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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.