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Finding the Third Proportional to 176,991.33 and 280,397.32

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Solution

The third proportional to 176,991.33 and 280,397.32 is: 444,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,991.33 : 280,397.32 = 280,397.32 : x
  2. Step 2: Convert to fraction form
    176,991.33/280,397.32 = 280,397.32/x
  3. Step 3: Cross multiply
    176,991.33x = 280,397.32 × 280,397.32
  4. Step 4: Simplify right side
    176,991.33x = 78,622,657,238.43
  5. Step 5: Solve for x
    x = 78,622,657,238.43/176,991.33
  6. Step 6: Final answer
    x = 444,217.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.