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Finding the Third Proportional to 177,208.31 and 277,206.75

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Solution

The third proportional to 177,208.31 and 277,206.75 is: 433,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,208.31 : 277,206.75 = 277,206.75 : x
  2. Step 2: Convert to fraction form
    177,208.31/277,206.75 = 277,206.75/x
  3. Step 3: Cross multiply
    177,208.31x = 277,206.75 × 277,206.75
  4. Step 4: Simplify right side
    177,208.31x = 76,843,582,245.56
  5. Step 5: Solve for x
    x = 76,843,582,245.56/177,208.31
  6. Step 6: Final answer
    x = 433,634.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.