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Finding the Third Proportional to 177,357.75 and 363,003

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Solution

The third proportional to 177,357.75 and 363,003 is: 742,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,357.75 : 363,003 = 363,003 : x
  2. Step 2: Convert to fraction form
    177,357.75/363,003 = 363,003/x
  3. Step 3: Cross multiply
    177,357.75x = 363,003 × 363,003
  4. Step 4: Simplify right side
    177,357.75x = 131,771,178,009
  5. Step 5: Solve for x
    x = 131,771,178,009/177,357.75
  6. Step 6: Final answer
    x = 742,968.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.