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Finding the Third Proportional to 173,838 and 418,641

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Solution

The third proportional to 173,838 and 418,641 is: 1,008,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838 : 418,641 = 418,641 : x
  2. Step 2: Convert to fraction form
    173,838/418,641 = 418,641/x
  3. Step 3: Cross multiply
    173,838x = 418,641 × 418,641
  4. Step 4: Simplify right side
    173,838x = 175,260,286,881
  5. Step 5: Solve for x
    x = 175,260,286,881/173,838
  6. Step 6: Final answer
    x = 1,008,181.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.