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Finding the Third Proportional to 98,498 and 217,732

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Solution

The third proportional to 98,498 and 217,732 is: 481,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498 : 217,732 = 217,732 : x
  2. Step 2: Convert to fraction form
    98,498/217,732 = 217,732/x
  3. Step 3: Cross multiply
    98,498x = 217,732 × 217,732
  4. Step 4: Simplify right side
    98,498x = 47,407,223,824
  5. Step 5: Solve for x
    x = 47,407,223,824/98,498
  6. Step 6: Final answer
    x = 481,301.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.