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Finding the Third Proportional to 141,302 and 213,393

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Solution

The third proportional to 141,302 and 213,393 is: 322,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,302 : 213,393 = 213,393 : x
  2. Step 2: Convert to fraction form
    141,302/213,393 = 213,393/x
  3. Step 3: Cross multiply
    141,302x = 213,393 × 213,393
  4. Step 4: Simplify right side
    141,302x = 45,536,572,449
  5. Step 5: Solve for x
    x = 45,536,572,449/141,302
  6. Step 6: Final answer
    x = 322,264.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.