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Finding the Third Proportional to 116,230 and 245,516

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Solution

The third proportional to 116,230 and 245,516 is: 518,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,230 : 245,516 = 245,516 : x
  2. Step 2: Convert to fraction form
    116,230/245,516 = 245,516/x
  3. Step 3: Cross multiply
    116,230x = 245,516 × 245,516
  4. Step 4: Simplify right side
    116,230x = 60,278,106,256
  5. Step 5: Solve for x
    x = 60,278,106,256/116,230
  6. Step 6: Final answer
    x = 518,610.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.