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Finding the Third Proportional to 84,526.31 and 178,484.06

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Solution

The third proportional to 84,526.31 and 178,484.06 is: 376,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,526.31 : 178,484.06 = 178,484.06 : x
  2. Step 2: Convert to fraction form
    84,526.31/178,484.06 = 178,484.06/x
  3. Step 3: Cross multiply
    84,526.31x = 178,484.06 × 178,484.06
  4. Step 4: Simplify right side
    84,526.31x = 31,856,560,566.50
  5. Step 5: Solve for x
    x = 31,856,560,566.50/84,526.31
  6. Step 6: Final answer
    x = 376,883.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.