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Finding the Third Proportional to 221,671.69 and 343,900.69

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Solution

The third proportional to 221,671.69 and 343,900.69 is: 533,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,671.69 : 343,900.69 = 343,900.69 : x
  2. Step 2: Convert to fraction form
    221,671.69/343,900.69 = 343,900.69/x
  3. Step 3: Cross multiply
    221,671.69x = 343,900.69 × 343,900.69
  4. Step 4: Simplify right side
    221,671.69x = 118,267,682,862.97
  5. Step 5: Solve for x
    x = 118,267,682,862.97/221,671.69
  6. Step 6: Final answer
    x = 533,526.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.