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Finding the Third Proportional to 118,259 and 188,264

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Solution

The third proportional to 118,259 and 188,264 is: 299,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,259 : 188,264 = 188,264 : x
  2. Step 2: Convert to fraction form
    118,259/188,264 = 188,264/x
  3. Step 3: Cross multiply
    118,259x = 188,264 × 188,264
  4. Step 4: Simplify right side
    118,259x = 35,443,333,696
  5. Step 5: Solve for x
    x = 35,443,333,696/118,259
  6. Step 6: Final answer
    x = 299,709.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.