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Finding the Third Proportional to 193,658.34 and 419,476.22

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Solution

The third proportional to 193,658.34 and 419,476.22 is: 908,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658.34 : 419,476.22 = 419,476.22 : x
  2. Step 2: Convert to fraction form
    193,658.34/419,476.22 = 419,476.22/x
  3. Step 3: Cross multiply
    193,658.34x = 419,476.22 × 419,476.22
  4. Step 4: Simplify right side
    193,658.34x = 175,960,298,096.80
  5. Step 5: Solve for x
    x = 175,960,298,096.80/193,658.34
  6. Step 6: Final answer
    x = 908,612.02

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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.