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Finding the Third Proportional to 221,122 and 350,699

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Solution

The third proportional to 221,122 and 350,699 is: 556,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,122 : 350,699 = 350,699 : x
  2. Step 2: Convert to fraction form
    221,122/350,699 = 350,699/x
  3. Step 3: Cross multiply
    221,122x = 350,699 × 350,699
  4. Step 4: Simplify right side
    221,122x = 122,989,788,601
  5. Step 5: Solve for x
    x = 122,989,788,601/221,122
  6. Step 6: Final answer
    x = 556,207.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.