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Finding the Third Proportional to 221,609 and 364,080

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Solution

The third proportional to 221,609 and 364,080 is: 598,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,609 : 364,080 = 364,080 : x
  2. Step 2: Convert to fraction form
    221,609/364,080 = 364,080/x
  3. Step 3: Cross multiply
    221,609x = 364,080 × 364,080
  4. Step 4: Simplify right side
    221,609x = 132,554,246,400
  5. Step 5: Solve for x
    x = 132,554,246,400/221,609
  6. Step 6: Final answer
    x = 598,144.69

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.