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Finding the Third Proportional to 177,360.75 and 363,009

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Solution

The third proportional to 177,360.75 and 363,009 is: 742,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,360.75 : 363,009 = 363,009 : x
  2. Step 2: Convert to fraction form
    177,360.75/363,009 = 363,009/x
  3. Step 3: Cross multiply
    177,360.75x = 363,009 × 363,009
  4. Step 4: Simplify right side
    177,360.75x = 131,775,534,081
  5. Step 5: Solve for x
    x = 131,775,534,081/177,360.75
  6. Step 6: Final answer
    x = 742,980.25

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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.