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Finding the Third Proportional to 118,196 and 259,356

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Solution

The third proportional to 118,196 and 259,356 is: 569,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,196 : 259,356 = 259,356 : x
  2. Step 2: Convert to fraction form
    118,196/259,356 = 259,356/x
  3. Step 3: Cross multiply
    118,196x = 259,356 × 259,356
  4. Step 4: Simplify right side
    118,196x = 67,265,534,736
  5. Step 5: Solve for x
    x = 67,265,534,736/118,196
  6. Step 6: Final answer
    x = 569,101.62

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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.