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Finding the Third Proportional to 117,126 and 256,824

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Solution

The third proportional to 117,126 and 256,824 is: 563,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,126 : 256,824 = 256,824 : x
  2. Step 2: Convert to fraction form
    117,126/256,824 = 256,824/x
  3. Step 3: Cross multiply
    117,126x = 256,824 × 256,824
  4. Step 4: Simplify right side
    117,126x = 65,958,566,976
  5. Step 5: Solve for x
    x = 65,958,566,976/117,126
  6. Step 6: Final answer
    x = 563,141.98

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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.