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Finding the Third Proportional to 98,304 and 209,483

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Solution

The third proportional to 98,304 and 209,483 is: 446,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,304 : 209,483 = 209,483 : x
  2. Step 2: Convert to fraction form
    98,304/209,483 = 209,483/x
  3. Step 3: Cross multiply
    98,304x = 209,483 × 209,483
  4. Step 4: Simplify right side
    98,304x = 43,883,127,289
  5. Step 5: Solve for x
    x = 43,883,127,289/98,304
  6. Step 6: Final answer
    x = 446,402.26

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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.