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Finding the Third Proportional to 82,442.81 and 169,254.56

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Solution

The third proportional to 82,442.81 and 169,254.56 is: 347,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,442.81 : 169,254.56 = 169,254.56 : x
  2. Step 2: Convert to fraction form
    82,442.81/169,254.56 = 169,254.56/x
  3. Step 3: Cross multiply
    82,442.81x = 169,254.56 × 169,254.56
  4. Step 4: Simplify right side
    82,442.81x = 28,647,106,927.07
  5. Step 5: Solve for x
    x = 28,647,106,927.07/82,442.81
  6. Step 6: Final answer
    x = 347,478.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.