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Finding the Third Proportional to 180,564.19 and 384,456.38

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Solution

The third proportional to 180,564.19 and 384,456.38 is: 818,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564.19 : 384,456.38 = 384,456.38 : x
  2. Step 2: Convert to fraction form
    180,564.19/384,456.38 = 384,456.38/x
  3. Step 3: Cross multiply
    180,564.19x = 384,456.38 × 384,456.38
  4. Step 4: Simplify right side
    180,564.19x = 147,806,704,278.14
  5. Step 5: Solve for x
    x = 147,806,704,278.14/180,564.19
  6. Step 6: Final answer
    x = 818,582.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.