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Finding the Third Proportional to 178,423.25 and 382,786.75

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Solution

The third proportional to 178,423.25 and 382,786.75 is: 821,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423.25 : 382,786.75 = 382,786.75 : x
  2. Step 2: Convert to fraction form
    178,423.25/382,786.75 = 382,786.75/x
  3. Step 3: Cross multiply
    178,423.25x = 382,786.75 × 382,786.75
  4. Step 4: Simplify right side
    178,423.25x = 146,525,695,975.56
  5. Step 5: Solve for x
    x = 146,525,695,975.56/178,423.25
  6. Step 6: Final answer
    x = 821,225.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.