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Finding the Third Proportional to 199,080 and 433,147

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Solution

The third proportional to 199,080 and 433,147 is: 942,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,080 : 433,147 = 433,147 : x
  2. Step 2: Convert to fraction form
    199,080/433,147 = 433,147/x
  3. Step 3: Cross multiply
    199,080x = 433,147 × 433,147
  4. Step 4: Simplify right side
    199,080x = 187,616,323,609
  5. Step 5: Solve for x
    x = 187,616,323,609/199,080
  6. Step 6: Final answer
    x = 942,416.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.