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Finding the Third Proportional to 251,214.75 and 341,131.50

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Solution

The third proportional to 251,214.75 and 341,131.50 is: 463,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,214.75 : 341,131.50 = 341,131.50 : x
  2. Step 2: Convert to fraction form
    251,214.75/341,131.50 = 341,131.50/x
  3. Step 3: Cross multiply
    251,214.75x = 341,131.50 × 341,131.50
  4. Step 4: Simplify right side
    251,214.75x = 116,370,700,292.25
  5. Step 5: Solve for x
    x = 116,370,700,292.25/251,214.75
  6. Step 6: Final answer
    x = 463,231.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.