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Finding the Third Proportional to 174,468 and 276,720

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Solution

The third proportional to 174,468 and 276,720 is: 438,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,468 : 276,720 = 276,720 : x
  2. Step 2: Convert to fraction form
    174,468/276,720 = 276,720/x
  3. Step 3: Cross multiply
    174,468x = 276,720 × 276,720
  4. Step 4: Simplify right side
    174,468x = 76,573,958,400
  5. Step 5: Solve for x
    x = 76,573,958,400/174,468
  6. Step 6: Final answer
    x = 438,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.