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Finding the Third Proportional to 141,419 and 297,379

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Solution

The third proportional to 141,419 and 297,379 is: 625,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,419 : 297,379 = 297,379 : x
  2. Step 2: Convert to fraction form
    141,419/297,379 = 297,379/x
  3. Step 3: Cross multiply
    141,419x = 297,379 × 297,379
  4. Step 4: Simplify right side
    141,419x = 88,434,269,641
  5. Step 5: Solve for x
    x = 88,434,269,641/141,419
  6. Step 6: Final answer
    x = 625,335.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.