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Finding the Third Proportional to 117,522 and 256,211

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Solution

The third proportional to 117,522 and 256,211 is: 558,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,522 : 256,211 = 256,211 : x
  2. Step 2: Convert to fraction form
    117,522/256,211 = 256,211/x
  3. Step 3: Cross multiply
    117,522x = 256,211 × 256,211
  4. Step 4: Simplify right side
    117,522x = 65,644,076,521
  5. Step 5: Solve for x
    x = 65,644,076,521/117,522
  6. Step 6: Final answer
    x = 558,568.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.