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Finding the Third Proportional to 118,230 and 251,796

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Solution

The third proportional to 118,230 and 251,796 is: 536,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,230 : 251,796 = 251,796 : x
  2. Step 2: Convert to fraction form
    118,230/251,796 = 251,796/x
  3. Step 3: Cross multiply
    118,230x = 251,796 × 251,796
  4. Step 4: Simplify right side
    118,230x = 63,401,225,616
  5. Step 5: Solve for x
    x = 63,401,225,616/118,230
  6. Step 6: Final answer
    x = 536,253.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.