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Finding the Third Proportional to 221,169 and 333,586

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Solution

The third proportional to 221,169 and 333,586 is: 503,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,169 : 333,586 = 333,586 : x
  2. Step 2: Convert to fraction form
    221,169/333,586 = 333,586/x
  3. Step 3: Cross multiply
    221,169x = 333,586 × 333,586
  4. Step 4: Simplify right side
    221,169x = 111,279,619,396
  5. Step 5: Solve for x
    x = 111,279,619,396/221,169
  6. Step 6: Final answer
    x = 503,142.93

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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.