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Finding the Third Proportional to 178,407.56 and 276,670.69

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Solution

The third proportional to 178,407.56 and 276,670.69 is: 429,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,407.56 : 276,670.69 = 276,670.69 : x
  2. Step 2: Convert to fraction form
    178,407.56/276,670.69 = 276,670.69/x
  3. Step 3: Cross multiply
    178,407.56x = 276,670.69 × 276,670.69
  4. Step 4: Simplify right side
    178,407.56x = 76,546,669,321.72
  5. Step 5: Solve for x
    x = 76,546,669,321.72/178,407.56
  6. Step 6: Final answer
    x = 429,055.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.