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Finding the Third Proportional to 221,207 and 333,623

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Solution

The third proportional to 221,207 and 333,623 is: 503,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,207 : 333,623 = 333,623 : x
  2. Step 2: Convert to fraction form
    221,207/333,623 = 333,623/x
  3. Step 3: Cross multiply
    221,207x = 333,623 × 333,623
  4. Step 4: Simplify right side
    221,207x = 111,304,306,129
  5. Step 5: Solve for x
    x = 111,304,306,129/221,207
  6. Step 6: Final answer
    x = 503,168.10

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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.