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Finding the Third Proportional to 182,768.63 and 440,301.38

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Solution

The third proportional to 182,768.63 and 440,301.38 is: 1,060,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,768.63 : 440,301.38 = 440,301.38 : x
  2. Step 2: Convert to fraction form
    182,768.63/440,301.38 = 440,301.38/x
  3. Step 3: Cross multiply
    182,768.63x = 440,301.38 × 440,301.38
  4. Step 4: Simplify right side
    182,768.63x = 193,865,300,826.89
  5. Step 5: Solve for x
    x = 193,865,300,826.89/182,768.63
  6. Step 6: Final answer
    x = 1,060,714.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.