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Finding the Third Proportional to 141,624 and 309,006

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Solution

The third proportional to 141,624 and 309,006 is: 674,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,624 : 309,006 = 309,006 : x
  2. Step 2: Convert to fraction form
    141,624/309,006 = 309,006/x
  3. Step 3: Cross multiply
    141,624x = 309,006 × 309,006
  4. Step 4: Simplify right side
    141,624x = 95,484,708,036
  5. Step 5: Solve for x
    x = 95,484,708,036/141,624
  6. Step 6: Final answer
    x = 674,212.76

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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.