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Finding the Third Proportional to 175,152 and 385,296

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Solution

The third proportional to 175,152 and 385,296 is: 847,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,152 : 385,296 = 385,296 : x
  2. Step 2: Convert to fraction form
    175,152/385,296 = 385,296/x
  3. Step 3: Cross multiply
    175,152x = 385,296 × 385,296
  4. Step 4: Simplify right side
    175,152x = 148,453,007,616
  5. Step 5: Solve for x
    x = 148,453,007,616/175,152
  6. Step 6: Final answer
    x = 847,566.73

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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.