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Finding the Third Proportional to 141,698 and 299,392

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Solution

The third proportional to 141,698 and 299,392 is: 632,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,698 : 299,392 = 299,392 : x
  2. Step 2: Convert to fraction form
    141,698/299,392 = 299,392/x
  3. Step 3: Cross multiply
    141,698x = 299,392 × 299,392
  4. Step 4: Simplify right side
    141,698x = 89,635,569,664
  5. Step 5: Solve for x
    x = 89,635,569,664/141,698
  6. Step 6: Final answer
    x = 632,581.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.