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Finding the Third Proportional to 118,233 and 259,459

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Solution

The third proportional to 118,233 and 259,459 is: 569,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,233 : 259,459 = 259,459 : x
  2. Step 2: Convert to fraction form
    118,233/259,459 = 259,459/x
  3. Step 3: Cross multiply
    118,233x = 259,459 × 259,459
  4. Step 4: Simplify right side
    118,233x = 67,318,972,681
  5. Step 5: Solve for x
    x = 67,318,972,681/118,233
  6. Step 6: Final answer
    x = 569,375.49

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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.