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Finding the Third Proportional to 256,500 and 560,196

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Solution

The third proportional to 256,500 and 560,196 is: 1,223,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500 : 560,196 = 560,196 : x
  2. Step 2: Convert to fraction form
    256,500/560,196 = 560,196/x
  3. Step 3: Cross multiply
    256,500x = 560,196 × 560,196
  4. Step 4: Simplify right side
    256,500x = 313,819,558,416
  5. Step 5: Solve for x
    x = 313,819,558,416/256,500
  6. Step 6: Final answer
    x = 1,223,468.06

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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.