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Finding the Third Proportional to 116,916 and 252,516

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Solution

The third proportional to 116,916 and 252,516 is: 545,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,916 : 252,516 = 252,516 : x
  2. Step 2: Convert to fraction form
    116,916/252,516 = 252,516/x
  3. Step 3: Cross multiply
    116,916x = 252,516 × 252,516
  4. Step 4: Simplify right side
    116,916x = 63,764,330,256
  5. Step 5: Solve for x
    x = 63,764,330,256/116,916
  6. Step 6: Final answer
    x = 545,385.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.