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Finding the Third Proportional to 178,286.06 and 242,825.34

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Solution

The third proportional to 178,286.06 and 242,825.34 is: 330,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,286.06 : 242,825.34 = 242,825.34 : x
  2. Step 2: Convert to fraction form
    178,286.06/242,825.34 = 242,825.34/x
  3. Step 3: Cross multiply
    178,286.06x = 242,825.34 × 242,825.34
  4. Step 4: Simplify right side
    178,286.06x = 58,964,147,567.31
  5. Step 5: Solve for x
    x = 58,964,147,567.31/178,286.06
  6. Step 6: Final answer
    x = 330,727.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.