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Finding the Third Proportional to 175,339.69 and 383,484.38

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Solution

The third proportional to 175,339.69 and 383,484.38 is: 838,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,339.69 : 383,484.38 = 383,484.38 : x
  2. Step 2: Convert to fraction form
    175,339.69/383,484.38 = 383,484.38/x
  3. Step 3: Cross multiply
    175,339.69x = 383,484.38 × 383,484.38
  4. Step 4: Simplify right side
    175,339.69x = 147,060,265,869.14
  5. Step 5: Solve for x
    x = 147,060,265,869.14/175,339.69
  6. Step 6: Final answer
    x = 838,716.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.