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Finding the Third Proportional to 102,180 and 223,368

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Solution

The third proportional to 102,180 and 223,368 is: 488,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180 : 223,368 = 223,368 : x
  2. Step 2: Convert to fraction form
    102,180/223,368 = 223,368/x
  3. Step 3: Cross multiply
    102,180x = 223,368 × 223,368
  4. Step 4: Simplify right side
    102,180x = 49,893,263,424
  5. Step 5: Solve for x
    x = 49,893,263,424/102,180
  6. Step 6: Final answer
    x = 488,287.96

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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.