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Finding the Third Proportional to 141.13 and 309

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Solution

The third proportional to 141.13 and 309 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.13 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    141.13/309 = 309/x
  3. Step 3: Cross multiply
    141.13x = 309 × 309
  4. Step 4: Simplify right side
    141.13x = 95,481
  5. Step 5: Solve for x
    x = 95,481/141.13
  6. Step 6: Final answer
    x = 676.57

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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.