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Finding the Third Proportional to 161,576 and 347,141

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Solution

The third proportional to 161,576 and 347,141 is: 745,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,576 : 347,141 = 347,141 : x
  2. Step 2: Convert to fraction form
    161,576/347,141 = 347,141/x
  3. Step 3: Cross multiply
    161,576x = 347,141 × 347,141
  4. Step 4: Simplify right side
    161,576x = 120,506,873,881
  5. Step 5: Solve for x
    x = 120,506,873,881/161,576
  6. Step 6: Final answer
    x = 745,821.62

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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.