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Finding the Third Proportional to 141,655 and 309,446

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Solution

The third proportional to 141,655 and 309,446 is: 675,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,655 : 309,446 = 309,446 : x
  2. Step 2: Convert to fraction form
    141,655/309,446 = 309,446/x
  3. Step 3: Cross multiply
    141,655x = 309,446 × 309,446
  4. Step 4: Simplify right side
    141,655x = 95,756,826,916
  5. Step 5: Solve for x
    x = 95,756,826,916/141,655
  6. Step 6: Final answer
    x = 675,986.21

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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.