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Finding the Third Proportional to 230,257.69 and 355,228.03

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Solution

The third proportional to 230,257.69 and 355,228.03 is: 548,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,257.69 : 355,228.03 = 355,228.03 : x
  2. Step 2: Convert to fraction form
    230,257.69/355,228.03 = 355,228.03/x
  3. Step 3: Cross multiply
    230,257.69x = 355,228.03 × 355,228.03
  4. Step 4: Simplify right side
    230,257.69x = 126,186,954,185.75
  5. Step 5: Solve for x
    x = 126,186,954,185.75/230,257.69
  6. Step 6: Final answer
    x = 548,024.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.