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Finding the Third Proportional to 82,473 and 183,834

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Solution

The third proportional to 82,473 and 183,834 is: 409,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,473 : 183,834 = 183,834 : x
  2. Step 2: Convert to fraction form
    82,473/183,834 = 183,834/x
  3. Step 3: Cross multiply
    82,473x = 183,834 × 183,834
  4. Step 4: Simplify right side
    82,473x = 33,794,939,556
  5. Step 5: Solve for x
    x = 33,794,939,556/82,473
  6. Step 6: Final answer
    x = 409,769.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.