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Finding the Third Proportional to 116,800 and 256,208

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Solution

The third proportional to 116,800 and 256,208 is: 562,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,800 : 256,208 = 256,208 : x
  2. Step 2: Convert to fraction form
    116,800/256,208 = 256,208/x
  3. Step 3: Cross multiply
    116,800x = 256,208 × 256,208
  4. Step 4: Simplify right side
    116,800x = 65,642,539,264
  5. Step 5: Solve for x
    x = 65,642,539,264/116,800
  6. Step 6: Final answer
    x = 562,008.04

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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.