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Finding the Third Proportional to 227,584.69 and 361,675.13

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Solution

The third proportional to 227,584.69 and 361,675.13 is: 574,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,584.69 : 361,675.13 = 361,675.13 : x
  2. Step 2: Convert to fraction form
    227,584.69/361,675.13 = 361,675.13/x
  3. Step 3: Cross multiply
    227,584.69x = 361,675.13 × 361,675.13
  4. Step 4: Simplify right side
    227,584.69x = 130,808,896,043.77
  5. Step 5: Solve for x
    x = 130,808,896,043.77/227,584.69
  6. Step 6: Final answer
    x = 574,770.20

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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.