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Finding the Third Proportional to 173,887 and 370,738

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Solution

The third proportional to 173,887 and 370,738 is: 790,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,887 : 370,738 = 370,738 : x
  2. Step 2: Convert to fraction form
    173,887/370,738 = 370,738/x
  3. Step 3: Cross multiply
    173,887x = 370,738 × 370,738
  4. Step 4: Simplify right side
    173,887x = 137,446,664,644
  5. Step 5: Solve for x
    x = 137,446,664,644/173,887
  6. Step 6: Final answer
    x = 790,436.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.