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Finding the Third Proportional to 141,393 and 304,458

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Solution

The third proportional to 141,393 and 304,458 is: 655,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,393 : 304,458 = 304,458 : x
  2. Step 2: Convert to fraction form
    141,393/304,458 = 304,458/x
  3. Step 3: Cross multiply
    141,393x = 304,458 × 304,458
  4. Step 4: Simplify right side
    141,393x = 92,694,673,764
  5. Step 5: Solve for x
    x = 92,694,673,764/141,393
  6. Step 6: Final answer
    x = 655,581.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.