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Finding the Third Proportional to 112,384 and 255,946

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Solution

The third proportional to 112,384 and 255,946 is: 582,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,384 : 255,946 = 255,946 : x
  2. Step 2: Convert to fraction form
    112,384/255,946 = 255,946/x
  3. Step 3: Cross multiply
    112,384x = 255,946 × 255,946
  4. Step 4: Simplify right side
    112,384x = 65,508,354,916
  5. Step 5: Solve for x
    x = 65,508,354,916/112,384
  6. Step 6: Final answer
    x = 582,897.52

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.