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Finding the Third Proportional to 221,111 and 333,516

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Solution

The third proportional to 221,111 and 333,516 is: 503,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,111 : 333,516 = 333,516 : x
  2. Step 2: Convert to fraction form
    221,111/333,516 = 333,516/x
  3. Step 3: Cross multiply
    221,111x = 333,516 × 333,516
  4. Step 4: Simplify right side
    221,111x = 111,232,922,256
  5. Step 5: Solve for x
    x = 111,232,922,256/221,111
  6. Step 6: Final answer
    x = 503,063.72

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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.