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Finding the Third Proportional to 84,592 and 183,770

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Solution

The third proportional to 84,592 and 183,770 is: 399,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,592 : 183,770 = 183,770 : x
  2. Step 2: Convert to fraction form
    84,592/183,770 = 183,770/x
  3. Step 3: Cross multiply
    84,592x = 183,770 × 183,770
  4. Step 4: Simplify right side
    84,592x = 33,771,412,900
  5. Step 5: Solve for x
    x = 33,771,412,900/84,592
  6. Step 6: Final answer
    x = 399,227.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.