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Finding the Third Proportional to 198,080 and 433,588

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Solution

The third proportional to 198,080 and 433,588 is: 949,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,080 : 433,588 = 433,588 : x
  2. Step 2: Convert to fraction form
    198,080/433,588 = 433,588/x
  3. Step 3: Cross multiply
    198,080x = 433,588 × 433,588
  4. Step 4: Simplify right side
    198,080x = 187,998,553,744
  5. Step 5: Solve for x
    x = 187,998,553,744/198,080
  6. Step 6: Final answer
    x = 949,104.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.