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Finding the Third Proportional to 161,961 and 348,526

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Solution

The third proportional to 161,961 and 348,526 is: 749,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,961 : 348,526 = 348,526 : x
  2. Step 2: Convert to fraction form
    161,961/348,526 = 348,526/x
  3. Step 3: Cross multiply
    161,961x = 348,526 × 348,526
  4. Step 4: Simplify right side
    161,961x = 121,470,372,676
  5. Step 5: Solve for x
    x = 121,470,372,676/161,961
  6. Step 6: Final answer
    x = 749,997.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.