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Finding the Third Proportional to 163,029 and 343,743

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Solution

The third proportional to 163,029 and 343,743 is: 724,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,029 : 343,743 = 343,743 : x
  2. Step 2: Convert to fraction form
    163,029/343,743 = 343,743/x
  3. Step 3: Cross multiply
    163,029x = 343,743 × 343,743
  4. Step 4: Simplify right side
    163,029x = 118,159,250,049
  5. Step 5: Solve for x
    x = 118,159,250,049/163,029
  6. Step 6: Final answer
    x = 724,774.43

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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.