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Finding the Third Proportional to 177,066 and 276,189.75

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Solution

The third proportional to 177,066 and 276,189.75 is: 430,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,066 : 276,189.75 = 276,189.75 : x
  2. Step 2: Convert to fraction form
    177,066/276,189.75 = 276,189.75/x
  3. Step 3: Cross multiply
    177,066x = 276,189.75 × 276,189.75
  4. Step 4: Simplify right side
    177,066x = 76,280,778,005.06
  5. Step 5: Solve for x
    x = 76,280,778,005.06/177,066
  6. Step 6: Final answer
    x = 430,804.21

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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.