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Finding the Third Proportional to 161,812 and 354,727

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Solution

The third proportional to 161,812 and 354,727 is: 777,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,812 : 354,727 = 354,727 : x
  2. Step 2: Convert to fraction form
    161,812/354,727 = 354,727/x
  3. Step 3: Cross multiply
    161,812x = 354,727 × 354,727
  4. Step 4: Simplify right side
    161,812x = 125,831,244,529
  5. Step 5: Solve for x
    x = 125,831,244,529/161,812
  6. Step 6: Final answer
    x = 777,638.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.