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Finding the Third Proportional to 174,470 and 276,723

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Solution

The third proportional to 174,470 and 276,723 is: 438,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,470 : 276,723 = 276,723 : x
  2. Step 2: Convert to fraction form
    174,470/276,723 = 276,723/x
  3. Step 3: Cross multiply
    174,470x = 276,723 × 276,723
  4. Step 4: Simplify right side
    174,470x = 76,575,618,729
  5. Step 5: Solve for x
    x = 76,575,618,729/174,470
  6. Step 6: Final answer
    x = 438,904.22

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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.