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Finding the Third Proportional to 118,230 and 259,427

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Solution

The third proportional to 118,230 and 259,427 is: 569,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,230 : 259,427 = 259,427 : x
  2. Step 2: Convert to fraction form
    118,230/259,427 = 259,427/x
  3. Step 3: Cross multiply
    118,230x = 259,427 × 259,427
  4. Step 4: Simplify right side
    118,230x = 67,302,368,329
  5. Step 5: Solve for x
    x = 67,302,368,329/118,230
  6. Step 6: Final answer
    x = 569,249.50

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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.