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Finding the Third Proportional to 163,028 and 343,741

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Solution

The third proportional to 163,028 and 343,741 is: 724,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,028 : 343,741 = 343,741 : x
  2. Step 2: Convert to fraction form
    163,028/343,741 = 343,741/x
  3. Step 3: Cross multiply
    163,028x = 343,741 × 343,741
  4. Step 4: Simplify right side
    163,028x = 118,157,875,081
  5. Step 5: Solve for x
    x = 118,157,875,081/163,028
  6. Step 6: Final answer
    x = 724,770.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.