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Finding the Third Proportional to 173,838 and 360,997

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Solution

The third proportional to 173,838 and 360,997 is: 749,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838 : 360,997 = 360,997 : x
  2. Step 2: Convert to fraction form
    173,838/360,997 = 360,997/x
  3. Step 3: Cross multiply
    173,838x = 360,997 × 360,997
  4. Step 4: Simplify right side
    173,838x = 130,318,834,009
  5. Step 5: Solve for x
    x = 130,318,834,009/173,838
  6. Step 6: Final answer
    x = 749,656.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.