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Finding the Third Proportional to 193,673.25 and 419,506.88

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Solution

The third proportional to 193,673.25 and 419,506.88 is: 908,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,673.25 : 419,506.88 = 419,506.88 : x
  2. Step 2: Convert to fraction form
    193,673.25/419,506.88 = 419,506.88/x
  3. Step 3: Cross multiply
    193,673.25x = 419,506.88 × 419,506.88
  4. Step 4: Simplify right side
    193,673.25x = 175,986,018,172.27
  5. Step 5: Solve for x
    x = 175,986,018,172.27/193,673.25
  6. Step 6: Final answer
    x = 908,674.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.