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Finding the Third Proportional to 74,644 and 161,324

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Solution

The third proportional to 74,644 and 161,324 is: 348,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644 : 161,324 = 161,324 : x
  2. Step 2: Convert to fraction form
    74,644/161,324 = 161,324/x
  3. Step 3: Cross multiply
    74,644x = 161,324 × 161,324
  4. Step 4: Simplify right side
    74,644x = 26,025,432,976
  5. Step 5: Solve for x
    x = 26,025,432,976/74,644
  6. Step 6: Final answer
    x = 348,660.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.