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Finding the Third Proportional to 83,398 and 183,483

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Solution

The third proportional to 83,398 and 183,483 is: 403,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,398 : 183,483 = 183,483 : x
  2. Step 2: Convert to fraction form
    83,398/183,483 = 183,483/x
  3. Step 3: Cross multiply
    83,398x = 183,483 × 183,483
  4. Step 4: Simplify right side
    83,398x = 33,666,011,289
  5. Step 5: Solve for x
    x = 33,666,011,289/83,398
  6. Step 6: Final answer
    x = 403,678.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.