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Finding the Third Proportional to 225,536 and 482,168

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Solution

The third proportional to 225,536 and 482,168 is: 1,030,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,536 : 482,168 = 482,168 : x
  2. Step 2: Convert to fraction form
    225,536/482,168 = 482,168/x
  3. Step 3: Cross multiply
    225,536x = 482,168 × 482,168
  4. Step 4: Simplify right side
    225,536x = 232,485,980,224
  5. Step 5: Solve for x
    x = 232,485,980,224/225,536
  6. Step 6: Final answer
    x = 1,030,815.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.