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Finding the Third Proportional to 141,796 and 309,350

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Solution

The third proportional to 141,796 and 309,350 is: 674,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796 : 309,350 = 309,350 : x
  2. Step 2: Convert to fraction form
    141,796/309,350 = 309,350/x
  3. Step 3: Cross multiply
    141,796x = 309,350 × 309,350
  4. Step 4: Simplify right side
    141,796x = 95,697,422,500
  5. Step 5: Solve for x
    x = 95,697,422,500/141,796
  6. Step 6: Final answer
    x = 674,895.08

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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.