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Finding the Third Proportional to 174,250 and 245,388

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Solution

The third proportional to 174,250 and 245,388 is: 345,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,250 : 245,388 = 245,388 : x
  2. Step 2: Convert to fraction form
    174,250/245,388 = 245,388/x
  3. Step 3: Cross multiply
    174,250x = 245,388 × 245,388
  4. Step 4: Simplify right side
    174,250x = 60,215,270,544
  5. Step 5: Solve for x
    x = 60,215,270,544/174,250
  6. Step 6: Final answer
    x = 345,568.27

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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.