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Finding the Third Proportional to 163,023 and 345,672

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Solution

The third proportional to 163,023 and 345,672 is: 732,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,023 : 345,672 = 345,672 : x
  2. Step 2: Convert to fraction form
    163,023/345,672 = 345,672/x
  3. Step 3: Cross multiply
    163,023x = 345,672 × 345,672
  4. Step 4: Simplify right side
    163,023x = 119,489,131,584
  5. Step 5: Solve for x
    x = 119,489,131,584/163,023
  6. Step 6: Final answer
    x = 732,958.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.