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Finding the Third Proportional to 230,265 and 355,225

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Solution

The third proportional to 230,265 and 355,225 is: 547,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,265 : 355,225 = 355,225 : x
  2. Step 2: Convert to fraction form
    230,265/355,225 = 355,225/x
  3. Step 3: Cross multiply
    230,265x = 355,225 × 355,225
  4. Step 4: Simplify right side
    230,265x = 126,184,800,625
  5. Step 5: Solve for x
    x = 126,184,800,625/230,265
  6. Step 6: Final answer
    x = 547,998.18

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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.