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Finding the Third Proportional to 161,595 and 347,178

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Solution

The third proportional to 161,595 and 347,178 is: 745,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,595 : 347,178 = 347,178 : x
  2. Step 2: Convert to fraction form
    161,595/347,178 = 347,178/x
  3. Step 3: Cross multiply
    161,595x = 347,178 × 347,178
  4. Step 4: Simplify right side
    161,595x = 120,532,563,684
  5. Step 5: Solve for x
    x = 120,532,563,684/161,595
  6. Step 6: Final answer
    x = 745,892.90

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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.