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Finding the Third Proportional to 175,853 and 251,994

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Solution

The third proportional to 175,853 and 251,994 is: 361,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,853 : 251,994 = 251,994 : x
  2. Step 2: Convert to fraction form
    175,853/251,994 = 251,994/x
  3. Step 3: Cross multiply
    175,853x = 251,994 × 251,994
  4. Step 4: Simplify right side
    175,853x = 63,500,976,036
  5. Step 5: Solve for x
    x = 63,500,976,036/175,853
  6. Step 6: Final answer
    x = 361,102.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.