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Finding the Third Proportional to 141,131 and 304,420

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Solution

The third proportional to 141,131 and 304,420 is: 656,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,131 : 304,420 = 304,420 : x
  2. Step 2: Convert to fraction form
    141,131/304,420 = 304,420/x
  3. Step 3: Cross multiply
    141,131x = 304,420 × 304,420
  4. Step 4: Simplify right side
    141,131x = 92,671,536,400
  5. Step 5: Solve for x
    x = 92,671,536,400/141,131
  6. Step 6: Final answer
    x = 656,634.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.