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Finding the Third Proportional to 174,994.88 and 270,693

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Solution

The third proportional to 174,994.88 and 270,693 is: 418,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,994.88 : 270,693 = 270,693 : x
  2. Step 2: Convert to fraction form
    174,994.88/270,693 = 270,693/x
  3. Step 3: Cross multiply
    174,994.88x = 270,693 × 270,693
  4. Step 4: Simplify right side
    174,994.88x = 73,274,700,249
  5. Step 5: Solve for x
    x = 73,274,700,249/174,994.88
  6. Step 6: Final answer
    x = 418,724.84

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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.