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Finding the Third Proportional to 141,271 and 213,347

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Solution

The third proportional to 141,271 and 213,347 is: 322,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,271 : 213,347 = 213,347 : x
  2. Step 2: Convert to fraction form
    141,271/213,347 = 213,347/x
  3. Step 3: Cross multiply
    141,271x = 213,347 × 213,347
  4. Step 4: Simplify right side
    141,271x = 45,516,942,409
  5. Step 5: Solve for x
    x = 45,516,942,409/141,271
  6. Step 6: Final answer
    x = 322,195.94

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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.