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Finding the Third Proportional to 141,646 and 309,050

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Solution

The third proportional to 141,646 and 309,050 is: 674,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,646 : 309,050 = 309,050 : x
  2. Step 2: Convert to fraction form
    141,646/309,050 = 309,050/x
  3. Step 3: Cross multiply
    141,646x = 309,050 × 309,050
  4. Step 4: Simplify right side
    141,646x = 95,511,902,500
  5. Step 5: Solve for x
    x = 95,511,902,500/141,646
  6. Step 6: Final answer
    x = 674,300.03

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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.