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Finding the Third Proportional to 174,454 and 276,693

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Solution

The third proportional to 174,454 and 276,693 is: 438,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,454 : 276,693 = 276,693 : x
  2. Step 2: Convert to fraction form
    174,454/276,693 = 276,693/x
  3. Step 3: Cross multiply
    174,454x = 276,693 × 276,693
  4. Step 4: Simplify right side
    174,454x = 76,559,016,249
  5. Step 5: Solve for x
    x = 76,559,016,249/174,454
  6. Step 6: Final answer
    x = 438,849.30

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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.