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Finding the Third Proportional to 164,080 and 347,878

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Solution

The third proportional to 164,080 and 347,878 is: 737,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 347,878 = 347,878 : x
  2. Step 2: Convert to fraction form
    164,080/347,878 = 347,878/x
  3. Step 3: Cross multiply
    164,080x = 347,878 × 347,878
  4. Step 4: Simplify right side
    164,080x = 121,019,102,884
  5. Step 5: Solve for x
    x = 121,019,102,884/164,080
  6. Step 6: Final answer
    x = 737,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.