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Finding the Third Proportional to 117,064 and 252,350

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Solution

The third proportional to 117,064 and 252,350 is: 543,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,064 : 252,350 = 252,350 : x
  2. Step 2: Convert to fraction form
    117,064/252,350 = 252,350/x
  3. Step 3: Cross multiply
    117,064x = 252,350 × 252,350
  4. Step 4: Simplify right side
    117,064x = 63,680,522,500
  5. Step 5: Solve for x
    x = 63,680,522,500/117,064
  6. Step 6: Final answer
    x = 543,980.41

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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.