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Finding the Third Proportional to 177,644.81 and 273,056.91

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Solution

The third proportional to 177,644.81 and 273,056.91 is: 419,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,644.81 : 273,056.91 = 273,056.91 : x
  2. Step 2: Convert to fraction form
    177,644.81/273,056.91 = 273,056.91/x
  3. Step 3: Cross multiply
    177,644.81x = 273,056.91 × 273,056.91
  4. Step 4: Simplify right side
    177,644.81x = 74,560,074,050.82
  5. Step 5: Solve for x
    x = 74,560,074,050.82/177,644.81
  6. Step 6: Final answer
    x = 419,714.33

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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.