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Finding the Third Proportional to 141,566 and 309,385

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Solution

The third proportional to 141,566 and 309,385 is: 676,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,566 : 309,385 = 309,385 : x
  2. Step 2: Convert to fraction form
    141,566/309,385 = 309,385/x
  3. Step 3: Cross multiply
    141,566x = 309,385 × 309,385
  4. Step 4: Simplify right side
    141,566x = 95,719,078,225
  5. Step 5: Solve for x
    x = 95,719,078,225/141,566
  6. Step 6: Final answer
    x = 676,144.54

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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.