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Finding the Third Proportional to 141,482 and 309,208

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Solution

The third proportional to 141,482 and 309,208 is: 675,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,482 : 309,208 = 309,208 : x
  2. Step 2: Convert to fraction form
    141,482/309,208 = 309,208/x
  3. Step 3: Cross multiply
    141,482x = 309,208 × 309,208
  4. Step 4: Simplify right side
    141,482x = 95,609,587,264
  5. Step 5: Solve for x
    x = 95,609,587,264/141,482
  6. Step 6: Final answer
    x = 675,772.09

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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.