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Finding the Third Proportional to 74,046 and 162,849

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Solution

The third proportional to 74,046 and 162,849 is: 358,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 162,849 = 162,849 : x
  2. Step 2: Convert to fraction form
    74,046/162,849 = 162,849/x
  3. Step 3: Cross multiply
    74,046x = 162,849 × 162,849
  4. Step 4: Simplify right side
    74,046x = 26,519,796,801
  5. Step 5: Solve for x
    x = 26,519,796,801/74,046
  6. Step 6: Final answer
    x = 358,153.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.