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Finding the Third Proportional to 84,461 and 183,623

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Solution

The third proportional to 84,461 and 183,623 is: 399,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,461 : 183,623 = 183,623 : x
  2. Step 2: Convert to fraction form
    84,461/183,623 = 183,623/x
  3. Step 3: Cross multiply
    84,461x = 183,623 × 183,623
  4. Step 4: Simplify right side
    84,461x = 33,717,406,129
  5. Step 5: Solve for x
    x = 33,717,406,129/84,461
  6. Step 6: Final answer
    x = 399,206.81

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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.