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Finding the Third Proportional to 161,588 and 347,164

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Solution

The third proportional to 161,588 and 347,164 is: 745,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,588 : 347,164 = 347,164 : x
  2. Step 2: Convert to fraction form
    161,588/347,164 = 347,164/x
  3. Step 3: Cross multiply
    161,588x = 347,164 × 347,164
  4. Step 4: Simplify right side
    161,588x = 120,522,842,896
  5. Step 5: Solve for x
    x = 120,522,842,896/161,588
  6. Step 6: Final answer
    x = 745,865.06

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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.