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Finding the Third Proportional to 141,275 and 213,353

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Solution

The third proportional to 141,275 and 213,353 is: 322,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,275 : 213,353 = 213,353 : x
  2. Step 2: Convert to fraction form
    141,275/213,353 = 213,353/x
  3. Step 3: Cross multiply
    141,275x = 213,353 × 213,353
  4. Step 4: Simplify right side
    141,275x = 45,519,502,609
  5. Step 5: Solve for x
    x = 45,519,502,609/141,275
  6. Step 6: Final answer
    x = 322,204.94

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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.