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Finding the Third Proportional to 141,954 and 310,404

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Solution

The third proportional to 141,954 and 310,404 is: 678,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,954 : 310,404 = 310,404 : x
  2. Step 2: Convert to fraction form
    141,954/310,404 = 310,404/x
  3. Step 3: Cross multiply
    141,954x = 310,404 × 310,404
  4. Step 4: Simplify right side
    141,954x = 96,350,643,216
  5. Step 5: Solve for x
    x = 96,350,643,216/141,954
  6. Step 6: Final answer
    x = 678,745.53

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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.