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Finding the Third Proportional to 77,296.50 and 178,955.25

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Solution

The third proportional to 77,296.50 and 178,955.25 is: 414,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296.50 : 178,955.25 = 178,955.25 : x
  2. Step 2: Convert to fraction form
    77,296.50/178,955.25 = 178,955.25/x
  3. Step 3: Cross multiply
    77,296.50x = 178,955.25 × 178,955.25
  4. Step 4: Simplify right side
    77,296.50x = 32,024,981,502.56
  5. Step 5: Solve for x
    x = 32,024,981,502.56/77,296.50
  6. Step 6: Final answer
    x = 414,313.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.