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Finding the Third Proportional to 177,639.50 and 273,047.50

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Solution

The third proportional to 177,639.50 and 273,047.50 is: 419,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,639.50 : 273,047.50 = 273,047.50 : x
  2. Step 2: Convert to fraction form
    177,639.50/273,047.50 = 273,047.50/x
  3. Step 3: Cross multiply
    177,639.50x = 273,047.50 × 273,047.50
  4. Step 4: Simplify right side
    177,639.50x = 74,554,937,256.25
  5. Step 5: Solve for x
    x = 74,554,937,256.25/177,639.50
  6. Step 6: Final answer
    x = 419,697.97

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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.