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Finding the Third Proportional to 141,573 and 213,453

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Solution

The third proportional to 141,573 and 213,453 is: 321,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,573 : 213,453 = 213,453 : x
  2. Step 2: Convert to fraction form
    141,573/213,453 = 213,453/x
  3. Step 3: Cross multiply
    141,573x = 213,453 × 213,453
  4. Step 4: Simplify right side
    141,573x = 45,562,183,209
  5. Step 5: Solve for x
    x = 45,562,183,209/141,573
  6. Step 6: Final answer
    x = 321,828.20

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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.