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Finding the Third Proportional to 180,578 and 241,584

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Solution

The third proportional to 180,578 and 241,584 is: 323,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578 : 241,584 = 241,584 : x
  2. Step 2: Convert to fraction form
    180,578/241,584 = 241,584/x
  3. Step 3: Cross multiply
    180,578x = 241,584 × 241,584
  4. Step 4: Simplify right side
    180,578x = 58,362,829,056
  5. Step 5: Solve for x
    x = 58,362,829,056/180,578
  6. Step 6: Final answer
    x = 323,200.11

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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.