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Finding the Third Proportional to 221,113 and 333,519

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Solution

The third proportional to 221,113 and 333,519 is: 503,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,113 : 333,519 = 333,519 : x
  2. Step 2: Convert to fraction form
    221,113/333,519 = 333,519/x
  3. Step 3: Cross multiply
    221,113x = 333,519 × 333,519
  4. Step 4: Simplify right side
    221,113x = 111,234,923,361
  5. Step 5: Solve for x
    x = 111,234,923,361/221,113
  6. Step 6: Final answer
    x = 503,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.