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Finding the Third Proportional to 167,050 and 347,924

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Solution

The third proportional to 167,050 and 347,924 is: 724,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,050 : 347,924 = 347,924 : x
  2. Step 2: Convert to fraction form
    167,050/347,924 = 347,924/x
  3. Step 3: Cross multiply
    167,050x = 347,924 × 347,924
  4. Step 4: Simplify right side
    167,050x = 121,051,109,776
  5. Step 5: Solve for x
    x = 121,051,109,776/167,050
  6. Step 6: Final answer
    x = 724,639.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.