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Finding the Third Proportional to 179,678.25 and 281,859.75

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Solution

The third proportional to 179,678.25 and 281,859.75 is: 442,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,678.25 : 281,859.75 = 281,859.75 : x
  2. Step 2: Convert to fraction form
    179,678.25/281,859.75 = 281,859.75/x
  3. Step 3: Cross multiply
    179,678.25x = 281,859.75 × 281,859.75
  4. Step 4: Simplify right side
    179,678.25x = 79,444,918,670.06
  5. Step 5: Solve for x
    x = 79,444,918,670.06/179,678.25
  6. Step 6: Final answer
    x = 442,151.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.