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Finding the Third Proportional to 178,471.50 and 276,347.25

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Solution

The third proportional to 178,471.50 and 276,347.25 is: 427,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.50 : 276,347.25 = 276,347.25 : x
  2. Step 2: Convert to fraction form
    178,471.50/276,347.25 = 276,347.25/x
  3. Step 3: Cross multiply
    178,471.50x = 276,347.25 × 276,347.25
  4. Step 4: Simplify right side
    178,471.50x = 76,367,802,582.56
  5. Step 5: Solve for x
    x = 76,367,802,582.56/178,471.50
  6. Step 6: Final answer
    x = 427,899.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.