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Finding the Third Proportional to 74,416 and 161,984

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Solution

The third proportional to 74,416 and 161,984 is: 352,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 161,984 = 161,984 : x
  2. Step 2: Convert to fraction form
    74,416/161,984 = 161,984/x
  3. Step 3: Cross multiply
    74,416x = 161,984 × 161,984
  4. Step 4: Simplify right side
    74,416x = 26,238,816,256
  5. Step 5: Solve for x
    x = 26,238,816,256/74,416
  6. Step 6: Final answer
    x = 352,596.43

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Why These Related Problems?

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