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Finding the Third Proportional to 174,244 and 245,379

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Solution

The third proportional to 174,244 and 245,379 is: 345,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,244 : 245,379 = 245,379 : x
  2. Step 2: Convert to fraction form
    174,244/245,379 = 245,379/x
  3. Step 3: Cross multiply
    174,244x = 245,379 × 245,379
  4. Step 4: Simplify right side
    174,244x = 60,210,853,641
  5. Step 5: Solve for x
    x = 60,210,853,641/174,244
  6. Step 6: Final answer
    x = 345,554.82

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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.