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Finding the Third Proportional to 49,341 and 119,308

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Solution

The third proportional to 49,341 and 119,308 is: 288,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 119,308 = 119,308 : x
  2. Step 2: Convert to fraction form
    49,341/119,308 = 119,308/x
  3. Step 3: Cross multiply
    49,341x = 119,308 × 119,308
  4. Step 4: Simplify right side
    49,341x = 14,234,398,864
  5. Step 5: Solve for x
    x = 14,234,398,864/49,341
  6. Step 6: Final answer
    x = 288,490.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.