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Finding the Third Proportional to 118,228 and 259,423

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Solution

The third proportional to 118,228 and 259,423 is: 569,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228 : 259,423 = 259,423 : x
  2. Step 2: Convert to fraction form
    118,228/259,423 = 259,423/x
  3. Step 3: Cross multiply
    118,228x = 259,423 × 259,423
  4. Step 4: Simplify right side
    118,228x = 67,300,292,929
  5. Step 5: Solve for x
    x = 67,300,292,929/118,228
  6. Step 6: Final answer
    x = 569,241.57

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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.