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Finding the Third Proportional to 243,177.31 and 388,480.97

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Solution

The third proportional to 243,177.31 and 388,480.97 is: 620,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,177.31 : 388,480.97 = 388,480.97 : x
  2. Step 2: Convert to fraction form
    243,177.31/388,480.97 = 388,480.97/x
  3. Step 3: Cross multiply
    243,177.31x = 388,480.97 × 388,480.97
  4. Step 4: Simplify right side
    243,177.31x = 150,917,463,080.94
  5. Step 5: Solve for x
    x = 150,917,463,080.94/243,177.31
  6. Step 6: Final answer
    x = 620,606.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.