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Finding the Third Proportional to 118,234 and 259,462

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Solution

The third proportional to 118,234 and 259,462 is: 569,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234 : 259,462 = 259,462 : x
  2. Step 2: Convert to fraction form
    118,234/259,462 = 259,462/x
  3. Step 3: Cross multiply
    118,234x = 259,462 × 259,462
  4. Step 4: Simplify right side
    118,234x = 67,320,529,444
  5. Step 5: Solve for x
    x = 67,320,529,444/118,234
  6. Step 6: Final answer
    x = 569,383.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.