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Finding the Third Proportional to 173,823 and 380,853

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Solution

The third proportional to 173,823 and 380,853 is: 834,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,823 : 380,853 = 380,853 : x
  2. Step 2: Convert to fraction form
    173,823/380,853 = 380,853/x
  3. Step 3: Cross multiply
    173,823x = 380,853 × 380,853
  4. Step 4: Simplify right side
    173,823x = 145,049,007,609
  5. Step 5: Solve for x
    x = 145,049,007,609/173,823
  6. Step 6: Final answer
    x = 834,463.84

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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.