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Finding the Third Proportional to 248,022 and 383,340

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Solution

The third proportional to 248,022 and 383,340 is: 592,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,022 : 383,340 = 383,340 : x
  2. Step 2: Convert to fraction form
    248,022/383,340 = 383,340/x
  3. Step 3: Cross multiply
    248,022x = 383,340 × 383,340
  4. Step 4: Simplify right side
    248,022x = 146,949,555,600
  5. Step 5: Solve for x
    x = 146,949,555,600/248,022
  6. Step 6: Final answer
    x = 592,485.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.