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Finding the Third Proportional to 183,778.88 and 395,730.56

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Solution

The third proportional to 183,778.88 and 395,730.56 is: 852,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,778.88 : 395,730.56 = 395,730.56 : x
  2. Step 2: Convert to fraction form
    183,778.88/395,730.56 = 395,730.56/x
  3. Step 3: Cross multiply
    183,778.88x = 395,730.56 × 395,730.56
  4. Step 4: Simplify right side
    183,778.88x = 156,602,678,096.57
  5. Step 5: Solve for x
    x = 156,602,678,096.57/183,778.88
  6. Step 6: Final answer
    x = 852,125.57

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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.