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Finding the Third Proportional to 74,600 and 162,317

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Solution

The third proportional to 74,600 and 162,317 is: 353,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,600 : 162,317 = 162,317 : x
  2. Step 2: Convert to fraction form
    74,600/162,317 = 162,317/x
  3. Step 3: Cross multiply
    74,600x = 162,317 × 162,317
  4. Step 4: Simplify right side
    74,600x = 26,346,808,489
  5. Step 5: Solve for x
    x = 26,346,808,489/74,600
  6. Step 6: Final answer
    x = 353,174.38

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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.