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Finding the Third Proportional to 178,633.69 and 253,914.75

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Solution

The third proportional to 178,633.69 and 253,914.75 is: 360,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,633.69 : 253,914.75 = 253,914.75 : x
  2. Step 2: Convert to fraction form
    178,633.69/253,914.75 = 253,914.75/x
  3. Step 3: Cross multiply
    178,633.69x = 253,914.75 × 253,914.75
  4. Step 4: Simplify right side
    178,633.69x = 64,472,700,267.56
  5. Step 5: Solve for x
    x = 64,472,700,267.56/178,633.69
  6. Step 6: Final answer
    x = 360,921.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.