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Finding the Third Proportional to 141,504 and 307,992

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Solution

The third proportional to 141,504 and 307,992 is: 670,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504 : 307,992 = 307,992 : x
  2. Step 2: Convert to fraction form
    141,504/307,992 = 307,992/x
  3. Step 3: Cross multiply
    141,504x = 307,992 × 307,992
  4. Step 4: Simplify right side
    141,504x = 94,859,072,064
  5. Step 5: Solve for x
    x = 94,859,072,064/141,504
  6. Step 6: Final answer
    x = 670,363.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.