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Finding the Third Proportional to 176,719.50 and 273,025.50

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Solution

The third proportional to 176,719.50 and 273,025.50 is: 421,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,719.50 : 273,025.50 = 273,025.50 : x
  2. Step 2: Convert to fraction form
    176,719.50/273,025.50 = 273,025.50/x
  3. Step 3: Cross multiply
    176,719.50x = 273,025.50 × 273,025.50
  4. Step 4: Simplify right side
    176,719.50x = 74,542,923,650.25
  5. Step 5: Solve for x
    x = 74,542,923,650.25/176,719.50
  6. Step 6: Final answer
    x = 421,814.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.