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Finding the Third Proportional to 185,422.50 and 379,653.75

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Solution

The third proportional to 185,422.50 and 379,653.75 is: 777,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,422.50 : 379,653.75 = 379,653.75 : x
  2. Step 2: Convert to fraction form
    185,422.50/379,653.75 = 379,653.75/x
  3. Step 3: Cross multiply
    185,422.50x = 379,653.75 × 379,653.75
  4. Step 4: Simplify right side
    185,422.50x = 144,136,969,889.06
  5. Step 5: Solve for x
    x = 144,136,969,889.06/185,422.50
  6. Step 6: Final answer
    x = 777,343.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.