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Finding the Third Proportional to 174,486 and 276,741

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Solution

The third proportional to 174,486 and 276,741 is: 438,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,486 : 276,741 = 276,741 : x
  2. Step 2: Convert to fraction form
    174,486/276,741 = 276,741/x
  3. Step 3: Cross multiply
    174,486x = 276,741 × 276,741
  4. Step 4: Simplify right side
    174,486x = 76,585,581,081
  5. Step 5: Solve for x
    x = 76,585,581,081/174,486
  6. Step 6: Final answer
    x = 438,921.07

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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.