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Finding the Third Proportional to 177,736.50 and 272,544.75

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Solution

The third proportional to 177,736.50 and 272,544.75 is: 417,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,736.50 : 272,544.75 = 272,544.75 : x
  2. Step 2: Convert to fraction form
    177,736.50/272,544.75 = 272,544.75/x
  3. Step 3: Cross multiply
    177,736.50x = 272,544.75 × 272,544.75
  4. Step 4: Simplify right side
    177,736.50x = 74,280,640,752.56
  5. Step 5: Solve for x
    x = 74,280,640,752.56/177,736.50
  6. Step 6: Final answer
    x = 417,925.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.