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Finding the Third Proportional to 84,808 and 183,580

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Solution

The third proportional to 84,808 and 183,580 is: 397,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,808 : 183,580 = 183,580 : x
  2. Step 2: Convert to fraction form
    84,808/183,580 = 183,580/x
  3. Step 3: Cross multiply
    84,808x = 183,580 × 183,580
  4. Step 4: Simplify right side
    84,808x = 33,701,616,400
  5. Step 5: Solve for x
    x = 33,701,616,400/84,808
  6. Step 6: Final answer
    x = 397,387.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.