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Finding the Third Proportional to 141,563 and 299,523

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Solution

The third proportional to 141,563 and 299,523 is: 633,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,563 : 299,523 = 299,523 : x
  2. Step 2: Convert to fraction form
    141,563/299,523 = 299,523/x
  3. Step 3: Cross multiply
    141,563x = 299,523 × 299,523
  4. Step 4: Simplify right side
    141,563x = 89,714,027,529
  5. Step 5: Solve for x
    x = 89,714,027,529/141,563
  6. Step 6: Final answer
    x = 633,739.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.