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Finding the Third Proportional to 98,741 and 210,604

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Solution

The third proportional to 98,741 and 210,604 is: 449,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741 : 210,604 = 210,604 : x
  2. Step 2: Convert to fraction form
    98,741/210,604 = 210,604/x
  3. Step 3: Cross multiply
    98,741x = 210,604 × 210,604
  4. Step 4: Simplify right side
    98,741x = 44,354,044,816
  5. Step 5: Solve for x
    x = 44,354,044,816/98,741
  6. Step 6: Final answer
    x = 449,195.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.