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Finding the Third Proportional to 141,379 and 299,119

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Solution

The third proportional to 141,379 and 299,119 is: 632,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,379 : 299,119 = 299,119 : x
  2. Step 2: Convert to fraction form
    141,379/299,119 = 299,119/x
  3. Step 3: Cross multiply
    141,379x = 299,119 × 299,119
  4. Step 4: Simplify right side
    141,379x = 89,472,176,161
  5. Step 5: Solve for x
    x = 89,472,176,161/141,379
  6. Step 6: Final answer
    x = 632,853.37

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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.