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Finding the Third Proportional to 221,558 and 334,370

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Solution

The third proportional to 221,558 and 334,370 is: 504,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558 : 334,370 = 334,370 : x
  2. Step 2: Convert to fraction form
    221,558/334,370 = 334,370/x
  3. Step 3: Cross multiply
    221,558x = 334,370 × 334,370
  4. Step 4: Simplify right side
    221,558x = 111,803,296,900
  5. Step 5: Solve for x
    x = 111,803,296,900/221,558
  6. Step 6: Final answer
    x = 504,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.