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Finding the Third Proportional to 118,492 and 259,946

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Solution

The third proportional to 118,492 and 259,946 is: 570,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,492 : 259,946 = 259,946 : x
  2. Step 2: Convert to fraction form
    118,492/259,946 = 259,946/x
  3. Step 3: Cross multiply
    118,492x = 259,946 × 259,946
  4. Step 4: Simplify right side
    118,492x = 67,571,922,916
  5. Step 5: Solve for x
    x = 67,571,922,916/118,492
  6. Step 6: Final answer
    x = 570,265.70

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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.