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Finding the Third Proportional to 243,180.75 and 388,485

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Solution

The third proportional to 243,180.75 and 388,485 is: 620,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,180.75 : 388,485 = 388,485 : x
  2. Step 2: Convert to fraction form
    243,180.75/388,485 = 388,485/x
  3. Step 3: Cross multiply
    243,180.75x = 388,485 × 388,485
  4. Step 4: Simplify right side
    243,180.75x = 150,920,595,225
  5. Step 5: Solve for x
    x = 150,920,595,225/243,180.75
  6. Step 6: Final answer
    x = 620,610.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.