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Finding the Third Proportional to 221,164 and 333,579

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Solution

The third proportional to 221,164 and 333,579 is: 503,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,164 : 333,579 = 333,579 : x
  2. Step 2: Convert to fraction form
    221,164/333,579 = 333,579/x
  3. Step 3: Cross multiply
    221,164x = 333,579 × 333,579
  4. Step 4: Simplify right side
    221,164x = 111,274,949,241
  5. Step 5: Solve for x
    x = 111,274,949,241/221,164
  6. Step 6: Final answer
    x = 503,133.19

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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.