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Finding the Third Proportional to 175,393.50 and 385,779

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Solution

The third proportional to 175,393.50 and 385,779 is: 848,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,393.50 : 385,779 = 385,779 : x
  2. Step 2: Convert to fraction form
    175,393.50/385,779 = 385,779/x
  3. Step 3: Cross multiply
    175,393.50x = 385,779 × 385,779
  4. Step 4: Simplify right side
    175,393.50x = 148,825,436,841
  5. Step 5: Solve for x
    x = 148,825,436,841/175,393.50
  6. Step 6: Final answer
    x = 848,523.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.