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Finding the Third Proportional to 82,470 and 183,828

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Solution

The third proportional to 82,470 and 183,828 is: 409,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470 : 183,828 = 183,828 : x
  2. Step 2: Convert to fraction form
    82,470/183,828 = 183,828/x
  3. Step 3: Cross multiply
    82,470x = 183,828 × 183,828
  4. Step 4: Simplify right side
    82,470x = 33,792,733,584
  5. Step 5: Solve for x
    x = 33,792,733,584/82,470
  6. Step 6: Final answer
    x = 409,757.89

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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.