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Finding the Third Proportional to 84,310.31 and 183,492.56

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Solution

The third proportional to 84,310.31 and 183,492.56 is: 399,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,310.31 : 183,492.56 = 183,492.56 : x
  2. Step 2: Convert to fraction form
    84,310.31/183,492.56 = 183,492.56/x
  3. Step 3: Cross multiply
    84,310.31x = 183,492.56 × 183,492.56
  4. Step 4: Simplify right side
    84,310.31x = 33,669,520,492.82
  5. Step 5: Solve for x
    x = 33,669,520,492.82/84,310.31
  6. Step 6: Final answer
    x = 399,352.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.