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Finding the Third Proportional to 177,449.06 and 384,407.44

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Solution

The third proportional to 177,449.06 and 384,407.44 is: 832,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,449.06 : 384,407.44 = 384,407.44 : x
  2. Step 2: Convert to fraction form
    177,449.06/384,407.44 = 384,407.44/x
  3. Step 3: Cross multiply
    177,449.06x = 384,407.44 × 384,407.44
  4. Step 4: Simplify right side
    177,449.06x = 147,769,078,005.32
  5. Step 5: Solve for x
    x = 147,769,078,005.32/177,449.06
  6. Step 6: Final answer
    x = 832,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.