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Finding the Third Proportional to 185,206.50 and 408,969

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Solution

The third proportional to 185,206.50 and 408,969 is: 903,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206.50 : 408,969 = 408,969 : x
  2. Step 2: Convert to fraction form
    185,206.50/408,969 = 408,969/x
  3. Step 3: Cross multiply
    185,206.50x = 408,969 × 408,969
  4. Step 4: Simplify right side
    185,206.50x = 167,255,642,961
  5. Step 5: Solve for x
    x = 167,255,642,961/185,206.50
  6. Step 6: Final answer
    x = 903,076.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.