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Finding the Third Proportional to 181,301.63 and 392,735.25

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Solution

The third proportional to 181,301.63 and 392,735.25 is: 850,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,301.63 : 392,735.25 = 392,735.25 : x
  2. Step 2: Convert to fraction form
    181,301.63/392,735.25 = 392,735.25/x
  3. Step 3: Cross multiply
    181,301.63x = 392,735.25 × 392,735.25
  4. Step 4: Simplify right side
    181,301.63x = 154,240,976,592.56
  5. Step 5: Solve for x
    x = 154,240,976,592.56/181,301.63
  6. Step 6: Final answer
    x = 850,742.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.