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Finding the Third Proportional to 221,464.88 and 343,572.75

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Solution

The third proportional to 221,464.88 and 343,572.75 is: 533,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.88 : 343,572.75 = 343,572.75 : x
  2. Step 2: Convert to fraction form
    221,464.88/343,572.75 = 343,572.75/x
  3. Step 3: Cross multiply
    221,464.88x = 343,572.75 × 343,572.75
  4. Step 4: Simplify right side
    221,464.88x = 118,042,234,542.56
  5. Step 5: Solve for x
    x = 118,042,234,542.56/221,464.88
  6. Step 6: Final answer
    x = 533,006.58

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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.