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Finding the Third Proportional to 141,696 and 300,672

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Solution

The third proportional to 141,696 and 300,672 is: 638,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,696 : 300,672 = 300,672 : x
  2. Step 2: Convert to fraction form
    141,696/300,672 = 300,672/x
  3. Step 3: Cross multiply
    141,696x = 300,672 × 300,672
  4. Step 4: Simplify right side
    141,696x = 90,403,651,584
  5. Step 5: Solve for x
    x = 90,403,651,584/141,696
  6. Step 6: Final answer
    x = 638,011.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.