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Finding the Third Proportional to 231,100.59 and 366,698.39

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Solution

The third proportional to 231,100.59 and 366,698.39 is: 581,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,100.59 : 366,698.39 = 366,698.39 : x
  2. Step 2: Convert to fraction form
    231,100.59/366,698.39 = 366,698.39/x
  3. Step 3: Cross multiply
    231,100.59x = 366,698.39 × 366,698.39
  4. Step 4: Simplify right side
    231,100.59x = 134,467,709,686.97
  5. Step 5: Solve for x
    x = 134,467,709,686.97/231,100.59
  6. Step 6: Final answer
    x = 581,857.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.