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Finding the Third Proportional to 174,454 and 276,694

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Solution

The third proportional to 174,454 and 276,694 is: 438,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,454 : 276,694 = 276,694 : x
  2. Step 2: Convert to fraction form
    174,454/276,694 = 276,694/x
  3. Step 3: Cross multiply
    174,454x = 276,694 × 276,694
  4. Step 4: Simplify right side
    174,454x = 76,559,569,636
  5. Step 5: Solve for x
    x = 76,559,569,636/174,454
  6. Step 6: Final answer
    x = 438,852.47

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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.