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Finding the Third Proportional to 168,744 and 356,461

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Solution

The third proportional to 168,744 and 356,461 is: 753,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,744 : 356,461 = 356,461 : x
  2. Step 2: Convert to fraction form
    168,744/356,461 = 356,461/x
  3. Step 3: Cross multiply
    168,744x = 356,461 × 356,461
  4. Step 4: Simplify right side
    168,744x = 127,064,444,521
  5. Step 5: Solve for x
    x = 127,064,444,521/168,744
  6. Step 6: Final answer
    x = 753,001.26

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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.