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Finding the Third Proportional to 168,768 and 367,776

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Solution

The third proportional to 168,768 and 367,776 is: 801,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,768 : 367,776 = 367,776 : x
  2. Step 2: Convert to fraction form
    168,768/367,776 = 367,776/x
  3. Step 3: Cross multiply
    168,768x = 367,776 × 367,776
  4. Step 4: Simplify right side
    168,768x = 135,259,186,176
  5. Step 5: Solve for x
    x = 135,259,186,176/168,768
  6. Step 6: Final answer
    x = 801,450.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.