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Finding the Third Proportional to 180,573.75 and 241,578

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Solution

The third proportional to 180,573.75 and 241,578 is: 323,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,573.75 : 241,578 = 241,578 : x
  2. Step 2: Convert to fraction form
    180,573.75/241,578 = 241,578/x
  3. Step 3: Cross multiply
    180,573.75x = 241,578 × 241,578
  4. Step 4: Simplify right side
    180,573.75x = 58,359,930,084
  5. Step 5: Solve for x
    x = 58,359,930,084/180,573.75
  6. Step 6: Final answer
    x = 323,191.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.