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Finding the Third Proportional to 117,364 and 256,233

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Solution

The third proportional to 117,364 and 256,233 is: 559,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,364 : 256,233 = 256,233 : x
  2. Step 2: Convert to fraction form
    117,364/256,233 = 256,233/x
  3. Step 3: Cross multiply
    117,364x = 256,233 × 256,233
  4. Step 4: Simplify right side
    117,364x = 65,655,350,289
  5. Step 5: Solve for x
    x = 65,655,350,289/117,364
  6. Step 6: Final answer
    x = 559,416.43

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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.