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Finding the Third Proportional to 193,617.84 and 419,402.81

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Solution

The third proportional to 193,617.84 and 419,402.81 is: 908,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.84 : 419,402.81 = 419,402.81 : x
  2. Step 2: Convert to fraction form
    193,617.84/419,402.81 = 419,402.81/x
  3. Step 3: Cross multiply
    193,617.84x = 419,402.81 × 419,402.81
  4. Step 4: Simplify right side
    193,617.84x = 175,898,719,132.91
  5. Step 5: Solve for x
    x = 175,898,719,132.91/193,617.84
  6. Step 6: Final answer
    x = 908,484.03

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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.