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Finding the Third Proportional to 102,456 and 223,596

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Solution

The third proportional to 102,456 and 223,596 is: 487,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,456 : 223,596 = 223,596 : x
  2. Step 2: Convert to fraction form
    102,456/223,596 = 223,596/x
  3. Step 3: Cross multiply
    102,456x = 223,596 × 223,596
  4. Step 4: Simplify right side
    102,456x = 49,995,171,216
  5. Step 5: Solve for x
    x = 49,995,171,216/102,456
  6. Step 6: Final answer
    x = 487,967.24

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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.