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Finding the Third Proportional to 174,188 and 245,296

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Solution

The third proportional to 174,188 and 245,296 is: 345,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,188 : 245,296 = 245,296 : x
  2. Step 2: Convert to fraction form
    174,188/245,296 = 245,296/x
  3. Step 3: Cross multiply
    174,188x = 245,296 × 245,296
  4. Step 4: Simplify right side
    174,188x = 60,170,127,616
  5. Step 5: Solve for x
    x = 60,170,127,616/174,188
  6. Step 6: Final answer
    x = 345,432.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.