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Finding the Third Proportional to 221,119 and 350,695

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Solution

The third proportional to 221,119 and 350,695 is: 556,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,119 : 350,695 = 350,695 : x
  2. Step 2: Convert to fraction form
    221,119/350,695 = 350,695/x
  3. Step 3: Cross multiply
    221,119x = 350,695 × 350,695
  4. Step 4: Simplify right side
    221,119x = 122,986,983,025
  5. Step 5: Solve for x
    x = 122,986,983,025/221,119
  6. Step 6: Final answer
    x = 556,202.69

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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.