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Finding the Third Proportional to 173,430 and 374,722

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Solution

The third proportional to 173,430 and 374,722 is: 809,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,430 : 374,722 = 374,722 : x
  2. Step 2: Convert to fraction form
    173,430/374,722 = 374,722/x
  3. Step 3: Cross multiply
    173,430x = 374,722 × 374,722
  4. Step 4: Simplify right side
    173,430x = 140,416,577,284
  5. Step 5: Solve for x
    x = 140,416,577,284/173,430
  6. Step 6: Final answer
    x = 809,644.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.