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Finding the Third Proportional to 208,341 and 294,994

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Solution

The third proportional to 208,341 and 294,994 is: 417,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,341 : 294,994 = 294,994 : x
  2. Step 2: Convert to fraction form
    208,341/294,994 = 294,994/x
  3. Step 3: Cross multiply
    208,341x = 294,994 × 294,994
  4. Step 4: Simplify right side
    208,341x = 87,021,460,036
  5. Step 5: Solve for x
    x = 87,021,460,036/208,341
  6. Step 6: Final answer
    x = 417,687.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.