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Finding the Third Proportional to 117,260 and 256,696

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Solution

The third proportional to 117,260 and 256,696 is: 561,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,260 : 256,696 = 256,696 : x
  2. Step 2: Convert to fraction form
    117,260/256,696 = 256,696/x
  3. Step 3: Cross multiply
    117,260x = 256,696 × 256,696
  4. Step 4: Simplify right side
    117,260x = 65,892,836,416
  5. Step 5: Solve for x
    x = 65,892,836,416/117,260
  6. Step 6: Final answer
    x = 561,937.89

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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.