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Finding the Third Proportional to 98,420 and 209,143

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Solution

The third proportional to 98,420 and 209,143 is: 444,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420 : 209,143 = 209,143 : x
  2. Step 2: Convert to fraction form
    98,420/209,143 = 209,143/x
  3. Step 3: Cross multiply
    98,420x = 209,143 × 209,143
  4. Step 4: Simplify right side
    98,420x = 43,740,794,449
  5. Step 5: Solve for x
    x = 43,740,794,449/98,420
  6. Step 6: Final answer
    x = 444,429.94

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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.