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Finding the Third Proportional to 174,378 and 269,343

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Solution

The third proportional to 174,378 and 269,343 is: 416,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,378 : 269,343 = 269,343 : x
  2. Step 2: Convert to fraction form
    174,378/269,343 = 269,343/x
  3. Step 3: Cross multiply
    174,378x = 269,343 × 269,343
  4. Step 4: Simplify right side
    174,378x = 72,545,651,649
  5. Step 5: Solve for x
    x = 72,545,651,649/174,378
  6. Step 6: Final answer
    x = 416,025.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.