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Finding the Third Proportional to 167,924 and 345,700

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Solution

The third proportional to 167,924 and 345,700 is: 711,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,924 : 345,700 = 345,700 : x
  2. Step 2: Convert to fraction form
    167,924/345,700 = 345,700/x
  3. Step 3: Cross multiply
    167,924x = 345,700 × 345,700
  4. Step 4: Simplify right side
    167,924x = 119,508,490,000
  5. Step 5: Solve for x
    x = 119,508,490,000/167,924
  6. Step 6: Final answer
    x = 711,682.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.