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Finding the Third Proportional to 180,724 and 241,516

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Solution

The third proportional to 180,724 and 241,516 is: 322,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,724 : 241,516 = 241,516 : x
  2. Step 2: Convert to fraction form
    180,724/241,516 = 241,516/x
  3. Step 3: Cross multiply
    180,724x = 241,516 × 241,516
  4. Step 4: Simplify right side
    180,724x = 58,329,978,256
  5. Step 5: Solve for x
    x = 58,329,978,256/180,724
  6. Step 6: Final answer
    x = 322,757.23

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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.