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Finding the Third Proportional to 181,764 and 277,566.75

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Solution

The third proportional to 181,764 and 277,566.75 is: 423,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,764 : 277,566.75 = 277,566.75 : x
  2. Step 2: Convert to fraction form
    181,764/277,566.75 = 277,566.75/x
  3. Step 3: Cross multiply
    181,764x = 277,566.75 × 277,566.75
  4. Step 4: Simplify right side
    181,764x = 77,043,300,705.56
  5. Step 5: Solve for x
    x = 77,043,300,705.56/181,764
  6. Step 6: Final answer
    x = 423,864.47

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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.