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Finding the Third Proportional to 162,838.69 and 353,529

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Solution

The third proportional to 162,838.69 and 353,529 is: 767,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,838.69 : 353,529 = 353,529 : x
  2. Step 2: Convert to fraction form
    162,838.69/353,529 = 353,529/x
  3. Step 3: Cross multiply
    162,838.69x = 353,529 × 353,529
  4. Step 4: Simplify right side
    162,838.69x = 124,982,753,841
  5. Step 5: Solve for x
    x = 124,982,753,841/162,838.69
  6. Step 6: Final answer
    x = 767,524.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.