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Finding the Third Proportional to 102,446 and 223,570

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Solution

The third proportional to 102,446 and 223,570 is: 487,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446 : 223,570 = 223,570 : x
  2. Step 2: Convert to fraction form
    102,446/223,570 = 223,570/x
  3. Step 3: Cross multiply
    102,446x = 223,570 × 223,570
  4. Step 4: Simplify right side
    102,446x = 49,983,544,900
  5. Step 5: Solve for x
    x = 49,983,544,900/102,446
  6. Step 6: Final answer
    x = 487,901.38

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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.