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Finding the Third Proportional to 155,890.50 and 335,823

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Solution

The third proportional to 155,890.50 and 335,823 is: 723,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,890.50 : 335,823 = 335,823 : x
  2. Step 2: Convert to fraction form
    155,890.50/335,823 = 335,823/x
  3. Step 3: Cross multiply
    155,890.50x = 335,823 × 335,823
  4. Step 4: Simplify right side
    155,890.50x = 112,777,087,329
  5. Step 5: Solve for x
    x = 112,777,087,329/155,890.50
  6. Step 6: Final answer
    x = 723,437.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.