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Finding the Third Proportional to 141,944 and 309,086

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Solution

The third proportional to 141,944 and 309,086 is: 673,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,944 : 309,086 = 309,086 : x
  2. Step 2: Convert to fraction form
    141,944/309,086 = 309,086/x
  3. Step 3: Cross multiply
    141,944x = 309,086 × 309,086
  4. Step 4: Simplify right side
    141,944x = 95,534,155,396
  5. Step 5: Solve for x
    x = 95,534,155,396/141,944
  6. Step 6: Final answer
    x = 673,041.17

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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.