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Finding the Third Proportional to 117,224 and 256,912

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Solution

The third proportional to 117,224 and 256,912 is: 563,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224 : 256,912 = 256,912 : x
  2. Step 2: Convert to fraction form
    117,224/256,912 = 256,912/x
  3. Step 3: Cross multiply
    117,224x = 256,912 × 256,912
  4. Step 4: Simplify right side
    117,224x = 66,003,775,744
  5. Step 5: Solve for x
    x = 66,003,775,744/117,224
  6. Step 6: Final answer
    x = 563,056.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.