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Finding the Third Proportional to 174,378 and 245,559

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Solution

The third proportional to 174,378 and 245,559 is: 345,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,378 : 245,559 = 245,559 : x
  2. Step 2: Convert to fraction form
    174,378/245,559 = 245,559/x
  3. Step 3: Cross multiply
    174,378x = 245,559 × 245,559
  4. Step 4: Simplify right side
    174,378x = 60,299,222,481
  5. Step 5: Solve for x
    x = 60,299,222,481/174,378
  6. Step 6: Final answer
    x = 345,796.04

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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.